More About HKUST
University News
Academic Departments A-Z
Life@HKUST
Library
Map & Directions
Jobs@HKUST
Faculty Profiles
About HKUST
A
A
A
Global Search  
Gunther UHLMANN

PhD in Mathematics
Massachusetts Institute of Technology, 1976

IAS Si Yuan Professor

Chair Professor
Department of Mathematics

  • (852) 3469 2460
  • gunther@ust.hk
  • Room IAS4010
  • Personal Web

Google Scholar
duMfIFAAAAAJ
ORCID
0000-0003-1572-7854
Scopus ID
7004576662
Research Interest Publications Projects Teaching Assignment

Research Interest


  • Inverse problems
  • Partial differential equations
  • Scattering theory

Publications


All Years 286 2023 2 2022 7 2021 9 2020 11 2019 13 2018 10 2017 234

2023 2

Recovery of Black Hole Mass from a Single Quasinormal Mode

Communications in Mathematical Physics, February 2023
Uhlmann, Gunther; Wang, Yiran
Article

Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements

Archive for Rational Mechanics and Analysis, v. 247, (1), January 2023, article number 6
Kian, Yavar; Uhlmann, Gunther Alberto Arancibia
Article
2022 7

An Inverse Boundary Value Problem for a Semilinear Wave Equation on Lorentzian Manifolds

International Mathematics Research Notices, v. 2022, (17), August 2022, article number rnab088, p. 13181-13211
Hintz, Peter; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Article

An inverse problem for a quasilinear convection–diffusion equation

Nonlinear Analysis, v. 222, September 2022, article number 112921
Feizmohammadi, Ali; Kian, Yavar; Uhlmann, Gunther Alberto Arancibia
Article

NONLINEAR ULTRASOUND IMAGING MODELED BY A WESTERVELT EQUATION

SIAM Journal on Applied Mathematics, v. 82, (2), 14 March 2022, p. 408-426
Acosta, Sebastian; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Article

On the scientific work of Victor Isakov

Inverse Problems and Imaging, v. 16, (6), December 2022, p. 1429-1445
Krupchyk, Katya; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia; Wang, Jenn-Nan
Article

Partial data inverse problems for quasilinear conductivity equations

Mathematische Annalen, 11 March 2022
Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Article

The Dirichlet-to-Neumann Map for a Semilinear Wave Equation on Lorentzian Manifolds

Communications in Partial Differential Equations, September 2022
Hintz, Peter; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Article

The higher order fractional Calderón problem for linear local operators: Uniqueness

Advances in Mathematics, v. 399, 16 April 2022, article number 108246
Covi, Giovanni; Mönkkönen, Keijo; Railo, Jesse; Uhlmann, Gunther
Article
2021 9

Generic uniqueness and stability for the mixed ray transform

Transactions of the American Mathematical Society, v. 374, (9), September 2021, p. 6085-6144
De Hoop, Maarten V.; Saksala, Teemu; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Article

Inverse problems for the fractional-Laplacian with lower order non-local perturbations

Transactions of the American Mathematical Society, v. 374, (5), May 2021, p. 3053-3075
Bhattacharyya, Sombuddha; Ghosh, Tuhin; Uhlmann, Gunther Alberto Arancibia
Article

Local and global boundary rigidity and the geodesic X-ray transform in the norma gauge

Annals of Mathematics, v. 194, (1), July 2021, p. 1-95
Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia; Vasy, Andras
Article

On an inverse boundary value problem for a nonlinear elastic wave equation

Journal des Mathematiques Pures et Appliquees, v. 153, September 2021, p. 114-136
Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Article

Optimality of increasing stability for an inverse boundary value problem

SIAM Journal on Mathematical Analysis, v. 53, (6), December 2021, p. 7062-7080
Kow, Pu-Zhao; Uhlmann, Gunther Alberto Arancibia; Wang, Jenn-Nan
Article

Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds

Journal of Functional Analysis, v. 281, (9), November 2021, article number 109191
Feizmohammadi, Ali; Krupchyk, Katya; Oksanen, Lauri; Uhlmann, Gunther Alberto Arancibia
Article

Reconstruction of the collision kernel in the nonlinear Boltzmann equation

SIAM Journal on Mathematical Analysis, v. 53, (1), February 2021, p. 1049-1069
Lai, Ru-Yu; Uhlmann, Gunther Alberto Arancibia; Yang, Yang
Article

The Calderón Inverse Problem for Isotropic Quasilinear Conductivities

Advances In Mathematics, v. 391, 19 November 2021, article number 107956
Cârstea, Cătălin I.; Feizmohammadi, Ali; Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Article

Travel Time Tomography in Stationary Spacetimes

Journal of Geometric Analysis, 23 February 2021
Uhlmann, Gunther Alberto Arancibia; Yang, Yang; Zhou, Hanming
Article
2020 11

A remark on partial data inverse problems for semilinear elliptic equations

Proceedings of the American Mathematical Society, v. 148, (2), February 2020, p. 681-685
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Article

Convolutional neural networks in phase space and inverse problems

SIAM Journal on Applied Mathematics, v. 80, (6), December 2020, p. 2560-2585
Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Article

Determination of Space-Time Structures from Gravitational Perturbations

Communications on Pure and Applied Mathematics, v. 73, (6), June 2020, p. 1315-1367
Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Article

Inverse Problems for Nonlinear Hyperbolic Equations

Discrete and Continuous Dynamical Systems - Series A, v. 41, (1), January 2021, p. 455-469
Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Article

Nonlinear interaction of waves in elastodynamics and an inverse problem

Mathematische Annalen, v. 376, (1-2), February 2020, p. 765-795
De Hoop, Maarten; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Article

Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities

Mathematical Research Letters, v. 27, (6), 2020, p. 1801-1824
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Article

Recovery of discontinuous Lamé parameters from exterior Cauchy data

Communications in Partial Differential Equations, January 2021
Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
Article

Recovery of Material Parameters in Transversely Isotropic Media

Archive for Rational Mechanics and Analysis, v. 235, (1), January 2020, p. 141-165
de Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Vasy, András
Article

The Calderón problem for the fractional Schrödinger equation

Analysis and PDE, v. 13, (2), 2020, p. 455-475
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
Article

The Light Ray Transform on Lorentzian Manifolds

Communications in Mathematical Physics, 2020
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia
Article

Uniqueness and reconstruction for the fractional Calderón problem with a single measurement

Journal of Functional Analysis, v. 279, (1), July 2020, article number 108505
Ghosh, Tuhin; Rüland, Angkana; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia
Article
2019 13

Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling

SIAM Journal on Applied Mathematics, v. 79, (6), December 2019, p. 2340-2358
Lai, Ru-Yu; Li, Qin; Uhlmann, Gunther Alberto Arancibia
Article

Inverting the local geodesic ray transform of higher rank tensors

Inverse Problems, v. 35, (11), October 2019, article number 115009
De Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Article

Lens Rigidity for a Particle in a Yang-Mills Field

Communications in Mathematical Physics, v. 366, (2), March 2019, p. 681-707
Paternain, Gabriel P.; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming
Article

Nonlinear Responses From The Interaction Of Two Progressing Waves At An Interface

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 36, (2), March - April 2019, p. 347-363
De Hoop, Maarten V.; Uhlmann, Gunther A.; Wang, Yiran
Article

Numerical Inversion of Three-Dimensional Geodesic X-Ray Transform Arising from Travel Time Tomography

SIAM JOURNAL ON IMAGING SCIENCES, v. 12, (3), 2019, p. 1296-1323
Yeung, T. S. Au; Chung, Eric T.; Uhlmann, Gunther Alberto Arancibia
Article

On an Inverse Boundary Problem Arising in Brain Imaging

Journal of Differential Equations, v. 267, (4), August 2019, p. 2471-2502
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther Alberto Arancibia
Article

Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets

International Mathematics Research Notices, v. 2019, (22), November 2019, p. 6949-6987
Hintz, Peter; Uhlmann, Gunther Alberto Arancibia
Article

Reconstruction of Piecewise Smooth Wave Speeds Using Multiple Scattering

Transactions of the American Mathematical Society, v. 372, (2), July 2019, p. 1213-1235
Caday, Peter; De Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
Article

Scattering Control for the Wave Equation with Unknown Wave Speed

Archive for Rational Mechanics and Analysis, v.231, (1), January 2019, p. 409-464
Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
Article

Stability Estimates for Partial Data Inverse Problems for Schrödinger Operators in the High Frequency Limit

Journal des Mathematiques Pures et Appliquees, v. 126, June 2019, p. 273-291
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Article

The geodesic X-ray transform with matrix weights

American Journal of Mathematics, v. 141, (6), December 2019, p. 1707-1750
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming
Article

Travel Time Tomography

Acta Mathematica Sinica, English Series, v. 35, (6), June 2019, p. 1085-1114
Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia; Vasy, András; Zhou, Hanming
Article

X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds

Annales de l'Institut Fourier, v. 69, (7), 2019, p. 2857-2919
Graham, C.Robin; Guillarmou, Colin; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia
Article
2018 10

Inverse problems for advection diffusion equations in admissible geometries

Communications in Partial Differential Equations, v. 43, (4), April 2018, p. 585-615
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Article

Inverse Problems for Magnetic Schrödinger Operators in Transversally Anisotropic Geometries

Communications in Mathematical Physics, v. 361, (2), July 2018, p. 525-582
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Article

Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds

Communications in Mathematical Physics, v. 360, (2), June 2018, p. 555-609
Lassas, Matti; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Article

Inversion Formulas and Range Characterizations For The Attenuated Geodesic Ray Transform

Journal des Mathematiques Pures et Appliquees, v. 111, March 2018, p. 161-190
Assylbekov, Yernat M.; Monard, Francois; Uhlmann, Gunther Alberto Arancibia
Article

Inverting the Local Geodesic X-ray Transform on Tensors

Journal d'Analyse Mathematique, v. 136, (1), October 2018, p. 151-208
Stefanov, Plamen; Uhlmann, Gunther; Vasy, András
Article

Local Recovery of the Compressional and Shear Speeds from the Hyperbolic DN Map

Inverse Problems, v. 34, (1), January 2018, article number 014003
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
Article

On the inverse problem of finding cosmic strings and other topological defects

Communications in Mathematical Physics, v. 357, (2), January 2018, p. 569-595
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia
Article

On The Microlocal Snalysis of The Geodesic X-ray Transform With Conjugate Points

Journal of Differential Geometry, v. 108, (3), March 2018, p. 459-494
Holman, Sean; Uhlmann, Gunther Alberto Arancibia
Article

Quantitative Analysis of Metal Artifacts in X-ray Tomography

SIAM Journal on Mathematical Analysis, v. 50, (5), 2018, p. 4914-4936
Palacios, Benjamin; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Article

Tensor Tomography in Periodic Slabs

Journal of Functional Analysis, v. 275, (2), July 2018, p. 288-299
Ilmavirta, J.; Uhlmann, Gunther Alberto Arancibia
Article
2017 3

An Inverse Problem from Condensed Matter Physics

Inverse Problems, v. 33, (11), October 2017, article number 115011
Lai, Ruyu; Shankar, Ravi; Spirn, Daniel; Uhlmann, Gunther A.
Article

Full and Partial Cloaking in Electromagnetic Scattering

Archive for Rational Mechanics and Analysis, v. 223, (1), January 2017, p. 265-299
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther A.
Article

Reducing Streaking Artifacts in Quantitative Susceptibility Mapping

SIAM Journal on Imaging Sciences, v. 10, (4), 2017, p. 1921-1934
Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran
Article
2016 5

Boundary rigidity with partial data

Journal of the American Mathematical Society, v. 29, (2), 2016, p. 299-332
Stefanov, Plamen D.; Uhlmann, Gunther A.; Vasy, Andras
Article

Local analytic regularity in the linearized calderón problem

Analysis & PDE, v. 9, (3), June 2016, p. 515-544
Sjöstrand, Johannes; Uhlmann, Gunther Alberto Arancibia
Article

The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives

Communications in Mathematical Physics, v. 348, (1), November 2016, p. 185-219
Krupchyk, Katya; Uhlmann, Gunther
Article

The inverse problem for the local geodesic ray transform

Inventiones Mathematicae, v. 205, (1), July 2016, p. 83-120
Uhlmann, Gunther Alberto Arancibia; Vasy, András
Article

The X-Ray Transform for Connections in Negative Curvature

Communications in Mathematical Physics, v. 343, (1), April 2016, p. 83-127
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia
Article
2015 9

An inverse kinematic problem with internal sources

Inverse Problems, v. 31, (5), May 2015, article number 055006
Pestov, Leonid N.; Uhlmann, Gunther; Zhou, Hanming
Article

Determining both sound speed and internal source in thermo-and photo-acoustic tomography

Inverse Problems, v. 31, (10), September 2015, article number 105005
Liu, Hongyu; Uhlmann, Gunther
Article

Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

Mathematische Annalen, v. 363, (1-2), October 2015, p. 305-362
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

On LpResolvent Estimates for Elliptic Operators on Compact Manifolds

Communications in Partial Differential Equations, v. 40, (3), March 2015, p. 438-474
Krupchyk, Katsiaryna; Uhlmann, Gunther
Article

On the range of the attenuated ray transform for unitary connections

International Mathematics Research Notices, v. 2015, (4), 2015, p. 873-897
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields

SIAM Journal on Applied Mathematics, v. 75, (5), 2015, p. 2214-2231
Bal, Guillaume P.; Monard, François; Uhlmann, Gunther
Article

Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak

Communications in Mathematical Physics, v. 335, (2), 2015, p. 671-712
Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther
Article

The geodesic ray transform on Riemannian surfaces with conjugate points

Communications in Mathematical Physics, v. 337, (3), August 2015, p. 1491-1513
Monard, François; Stefanov, Plamen D.; Uhlmann, Gunther
Article

The Neumann-to-Dirichlet map in two dimensions

Advances in Mathematics, v. 281, August 2015, p. 578-593
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article
2014 9

Inverse Boundary Value Problem for the Stokes and the Navier–Stokes Equations in the Plane

Archive for Rational Mechanics and Analysis, v. 215, (3), 2014, p. 811-829
Lai, Ruyu; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Inverse boundary value problems for the perturbed polyharmonic operator

Transactions of the American Mathematical Society, v. 366, (1), January 2014, p. 95-112
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Article

Inverse problems: seeing the unseen

Bulletin of Mathematical Sciences, v. 4, (2), January 2014, p. 209-279
Uhlmann, Gunther
Article

Photoacoustic and thermoacoustic tomography with an uncertain wave speed

Mathematical Research Letters, v. 21, (5), 2014, p. 1199-1214
Oksanen, Lauri; Uhlmann, Gunther
Article

Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD

Inverse Problems and Imaging, v. 8, (4), November 2014, p. 1-2
Hamilton, Sarah; Knudsen, Kim; Siltanen, Samuli; Uhlmann, Gunther
Article

Spectral rigidity and invariant distributions on anosov surfaces

Journal of Differential Geometry, v. 98, (1), 2014, p. 147-181
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

Tensor tomography: Progress and challenges

Chinese Annals of Mathematics. Series B, v. 35, (3), 2014, p. 399-428
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

Uniqueness for the inverse backscattering problem for angularly controlled potentials

Inverse Problems, v. 30, (6), 2014, article number 065005
Rakesh; Uhlmann, Gunther
Article

Uniqueness in an Inverse Boundary Problem for a Magnetic Schrödinger Operator with a Bounded Magnetic Potential

Communications in Mathematical Physics, v. 327, (3), 2014, p. 993-1009
Krupchyk, Katsiaryna; Uhlmann, Gunther
Article
2013 10

Increasing stability in an inverse problem for the acoustic equation

Inverse Problems, v. 29, (2), February 2013, article number 025012
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Instability of the linearized problem in multiwave tomography of recovery both the source and the speed

Inverse Problems and Imaging, v. 7, (4), November 2013, p. 1367-1377
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Inverse Boundary Problems for Systems in Two Dimensions

Annales Henri Poincare, v. 14, (6), September 2013, p. 1551-1571
Albin, Pierre; Guillarmou, Colin; Tzou, Leo; Uhlmann, Gunther
Article

Is a curved flight path in SAR better than a straight one?

SIAM Journal on Applied Mathematics, v. 73, (4), 2013, p. 1596-1612
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Multiscale discrete approximations of Fourier integral operators associated with canonical transformations and caustics

Multiscale Modeling and Simulation, v. 11, (2), 2013, p. 566-585
De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András; Wendt, Herwig
Article

Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions

Communications on Pure and Applied Mathematics, v. 66, (10), October 2013, p. 1629-1652
Bal, Guillaume P.; Uhlmann, Gunther
Article

Recovery of a source term or a speed with one measurement and applications

Transactions of the American Mathematical Society, v. 365, (11), 2013, p. 5737-5758
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Tensor tomography on surfaces

Inventiones Mathematicae, v. 193, (1), July 2013, p. 229-247
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

Inverse Problems and Applications: Inside Out II


Uhlmann, Gunther
Book

Multi-wave methods via ultrasound

Inverse Problems and Applications: Inside Out II / Edited by Gunther Uhlmann. Cambridge : Cambridge University Press, 2013, p. 271-323
Stefanov, Plamen D.; Uhlmann, Gunther
Book chapter
2012 9

Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics

Proceedings of the National Academy of Sciences of the United States of America, v. 109, (26), June 2012, p. 10169-10174
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Leónhardt, Ulf; Uhlmann, Gunther
Article

Determining a first order perturbation of the biharmonic operator by partial boundary measurements

Journal of Functional Analysis, v. 262, (4), 2012, p. 1781–1801
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Article

Inverse Problems With Partial Data for a Magnetic Schrödinger Operator in an Infinite Slab and on a Bounded Domain

Communications in Mathematical Physics, v. 312, (1), 2012, p. 87-126
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Article

On uniqueness of Lamé coefficients from partial Cauchy data in three dimensions

Inverse problems, v. 28, (12), November 2012, article number 125002
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article

Partial Cauchy data for general second order elliptic operators in two dimensions

Publications of the Research Institute for Mathematical Sciences, v. 48, (4), 2012, p. 971-1055
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article

Reconstructions for some coupled-physics inverse problems

Applied mathematics letters, v. 25, (7), 2012, p. 1030-1033
Bal, Guillaume P.; Uhlmann, Gunther
Article

Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness

Applied and computational harmonic analysis, v. 33, (3), 2012, p. 330-353
De Hoop, Maarten V.; Holman, Sean F.; Smith, Hart F.; Uhlmann, Gunther
Article

The attenuated ray transform for connections and Higgs fields

Geometric and functional analysis, v. 22, (5), 2012, p. 1460-1489
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

The geodesic x-ray transform with fold caustics

Analysis & PDE, v. 5, (2), 2012, p. 219-260
Stefanov, Plamen D.; Uhlmann, Gunther
Article
2011 22

An adaptive phase space method with application to reflection traveltime tomography

Inverse problems, v. 27, (11), 2011, article number 115002
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
Article

An efficient neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed

SIAM journal on imaging sciences, v. 4, (3), 2011, p. 850-883
Qian, Jianliang; Stefanov, Plamen D.; Uhlmann, Gunther; Zhao, Hongkai
Article

Approximate quantum and acoustic cloaking

Journal of Spectral Theory, v. 1, (1), 2011, p. 27-80
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain

Indiana University mathematics journal, v. 60, (6), 2011, p. 2093-2106
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Calderon's paper "On an inverse boundary value problem"

Revista matemática iberoamericana, 2011, p. 297+
Uhlmann, Gunther
Article

Cloaking a sensor for three-dimensional Maxwell's equations: Transformation optics approach

Optics express, v. 19, (21), 2011, p. 20518-20530
Chen, Xudong; Uhlmann, Gunther
Article

Cloaking a sensor via transformation optics

Physical Review E, v. 83, (1), January 2011, article number 016603
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Decoupling of modes for the elastic wave equation in media of limited smoothness

Communications in partial differential equations, v. 36, (10), 2011, p. 1683-1693
Brytik, Valeriy; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther
Article

Determination of second-order elliptic operators in two dimensions from partial Cauchy data

Proceedings of the National Academy of Sciences of the United States of America, v. 108, (2), January 2011, p. 467-472
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article

Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets

Inverse problems, v. 27, (8), 2011, article number 085007
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article

Inverse problems for differential forms on riemannian manifolds with boundary

Communications in partial differential equations, v. 36, (8), 2011, p. 1475-1509
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Article

Inverse problems for the anisotropic maxwell equations

Duke mathematical journal, v. 157, (2), 2011, p. 369-419
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
Article

Polarization-invariant directional cloaking by transformation optics

Progress In Electromagnetics Research, v. 118, 2011, p. 415-423
Agarwal, Krishna; Chen, Xudong; Hu, Li; Liu, Hongyu; Uhlmann, Gunther
Article

Quantitative strong unique continuation for the Lamé system with less regular coefficients

Methods and Applications of Analysis, v. 18, (1), 2011, p. 85-92
Uhlmann, Gunther; Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan
Article

Quantitative thermo-acoustics and related problems

Inverse problems, v. 27, (5), 2011, article number 055007
Bal, Guillaume P.; Ren, Kui; Uhlmann, Gunther; Zhou, Ting
Article

Reconstruction of penetrable obstacles in acoustic scattering

SIAM journal on mathematical analysis, v. 43, (1), 2011, p. 189-211
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Reconstructions from boundary measurements on admissible manifolds

Inverse problems and imaging, v. 5, (4), 2011, p. 859-877
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
Article

The attenuated ray transform on simple surfaces

Journal of differential geometry, v. 88, (1), 2011, p. 161-187
Salo, Mikko; Uhlmann, Gunther
Article

Thermoacoustic tomography arising in brain imaging

Inverse problems, v. 27, (4), 2011, article number 045004
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Universal multi-scale computations of Fourier integral operators for coherent imaging in caustics

SEG technical program expanded abstracts, v. 30, (1), 2011, p. 2936-2940
Wendt, Herwig; De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András
Article

Tomography and Inverse Transport Theory


Bal, Guillaume P.; Kuchment, Peter; Stefanov, Plamen D.; Schotland, John; Uhlmann, Gunther
Book

Wave Phenomena

Handbook of Mathematical Methods in Imaging / Otmar Schetzer editor. New York: Springer-Verlag, 2011, p. 867-909
Lassas, Matti; Salo, Mikko; Uhlmann, Gunther
Book chapter
2010 8

Inverse diffusion theory of photoacoustics

Inverse problems, v. 26, (8), August 2010, article Number: 085010
Bal, Guillaume P.; Uhlmann, Gunther
Article

Inverse problems with partial data in a slab

Inverse problems and imaging, v. 4, (3), 2010, p. 449-462
Li, Xiaosheng; Uhlmann, Gunther
Article

Inverse scattering for the magnetic Schrödinger operator

Journal of functional analysis, v. 259, (7), 2010, p. 1771-1798
Päivärinta, Lassi Juhani; Salo, Mikko; Uhlmann, Gunther
Article

Methods and Applications of Analysis: Preface

Methods and Applications of Analysis, v. 17, no. 4 (Dec 2010) p. i-ii
Uhlmann, G.; Chung, Tsz Shun; Yamamoto, Masahiro; Zou, Jun
Article

Optimal three-ball inequalities and quantitative uniqueness for the Stokes system

Discrete and Continuous Dynamical Systems, v. 28, (3), November 2010, p. 1273-1290
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Reconstructing the metric and magnetic field from the scattering relation

Inverse problems and imaging, v. 4, (3), 2010, p. 397-409
Dairbekov, Nurlan S.; Uhlmann, Gunther
Article

Rigidity of broken geodesic flow and inverse problems

American journal of mathematics, v. 132, (2), 2010, p. 529-562
Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

The calderón problem with partial data in two dimensions

Journal of the American Mathematical Society, v. 23, (3), 2010, p. 655-691
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article
2009 13

A depth-dependent stability estimate in electrical impedance tomography

Inverse problems, v. 25, (7), 2009, article number 075001
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Cloaking devices, electromagnetic wormholes, and transformation optics

SIAM review, v. 51, (1), 2009, p. 3-33
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Electrical impedance tomography and Calderón's problem

Inverse problems, v. 25, (12), 2009, article number 123011
Uhlmann, Gunther
Article

Invisibility and inverse problems

Bulletin of the American Mathematical Society, v. 46, (1), 2009, p. 55-97
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Limiting Carleman weights and anisotropic inverse problems

Inventiones mathematicae, v. 178, (1), 2009, p. 119-171
Ferreira, David Dos Santos; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
Article

Linearizing non-linear inverse problems and an application to inverse backscattering

Journal of functional analysis, v. 256, (9), 2009, p. 2842-2866
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Local lens rigidity with incomplete data for a class of non-simple riemannian manifolds

Journal of differential geometry, v. 82, (2), 2009, p. 383-409
Stefanov, Plamen D.; Uhlmann, Gunther
Article

On the linearized local calderón problem

Mathematical research letters, v. 16, (6), 2009, p. 955-970
Ferreira, David Dos Santos; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
Article

Reconstruction of inclusions in an elastic body

Journal de mathématiques pures et appliquées, v. 91, (6), 2009, p. 569-582
Uhlmann, Gunther; Wang, Jenn-Nan; Wu, Chintien
Article

Seismic imaging with the generalized Radon transform: A curvelet transform perspective

Inverse problems, v. 25, (2), 2009, article number 025005
De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther; Van Der Hilst, Robert D.
Article

Thermoacoustic tomography with variable sound speed

Inverse problems, v. 25, (7), 2009, article number 075011
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Unique Continuation Property for the Elasticity with General Residual Stress

Inverse problems and imaging, v. 3, (2), May 2009, p. 309-317
Uhlmann, Gunther; Wang, Jenn-Nan
Article

Visibility and invisibility

ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007, 2009, p. 381-408
Uhlmann, Gunther
Conference paper
2008 13

A multi-scale approach to hyperbolic evolution equations with limited smoothness

Communications in partial differential equations, v. 33, (6), 2008, p. 988-1017
Andersson, Fredrik N.G.; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther
Article

An Inverse Source Problem in Optical Molecular Imaging

Analysis & PDE, v. 1, (1), 2008, p. 115-126
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Approximate Quantum Cloaking and Almost-Trapped States

Physical Review Letters, v. 101, (22), November 2008, Article number 220404
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Article

Complex geometrical optics solutions for anisotropic equations and applications

Journal of inverse and III-posed problems, v. 16, (8), 2008, p. 791-804
Takuwa, H.; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Electromagnetic wormholes via handlebody constructions

Communications in Mathematical Physics, v. 281, (2), 2008, p. 369-385
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Generalized backscattering and the Lax-Phillips transform

Serdica Mathematical Journal, v. 34, 2008, p. 1026-1044
Melrose, Richard B.; Uhlmann, Gunther
Article

Integral geometry of tensor fields on a class of non-simple Riemannian manifolds

American journal of mathematics, v. 130, (1), 2008, p. 239-268
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Isotropie transformation optics: Approximate acoustic and quantum cloaking

New journal of physics, v. 10, 2008, article number 115024
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Reconstructing discontinuities using complex geometrical optics solutions

SIAM journal on applied mathematics, v. 68, (4), 2008, p. 1026-1044
Uhlmann, Gunther; Wang, Jenn-Nan
Article

The X-ray transform for a generic family of curves and weights

Journal of geometric analysis, v. 18, (1), 2008, p. 89-108
Frigyik, Béla András; Stefanov, Plamen D.; Uhlmann, Gunther
Article

Boundary and lens rigidity, tensor tomography and analytic microlocal analysis

Algebraic Analysis of Differential Equations / Fetschrift in Honor of Takahiro Kawai, edited by T. Aoki, H. Majima, Y. Katei and N. Tose, 2008, p. 275-293
Stefanov, Plamen D.; Uhlmann, Gunther
Book chapter

Commentary on Calderón's paper (29), On an inverse boundary value problem

Selected Papers of Alberto P. Calderón with Commentary / Edited by Alexandra Bellow, Carlos E. Kenig and Paul Malliavin. American Mathematical Society, Rhode Island, United States, 2008, p. 623-636
Uhlmann, Gunther
Book chapter

A phase-space formulation for elastic-wave traveltime tomography

4th Applied Inverse Problems International Conference, AIP 2007 and the 1st Congress of the Inverse Problems International Association, IPIA 2007, Vancouver, BC, Canada, 25-29 June 2007, Journal of physics. Conference series, v. 124, (1), 2008, article number 012018
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
Conference paper
2007 14

A new phase space method for recovering index of refraction from travel times

Inverse problems, v. 23, (1), February 2007, p. 309-329
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
Article

Complex spherical waves for the elasticity system and probing of inclusions

SIAM journal on mathematical analysis, v. 38, (6), 2007, p. 1967-1980
Uhlmann, Gunther; Wang, Jenn-Nan
Article

Determining a magnetic Schrödinger operator from partial cauchy data

Communications in Mathematical Physics, v. 271, (2), 2007, p. 467-488
Ferreira, David Dos Santos; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
Article

Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials

Physical Review Letters, v. 99, (18), November 2007, article number 183901
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Article

Full-wave invisibility of active devices at all frequencies

Communications in Mathematical Physics, v. 275, (3), 2007, p. 749-789
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Improvement of cylindrical cloaking with the SHS lining

Optics express, v. 15, (20), 2007, p. 12717-12734
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Parametrices for symmetric systems with multiplicity

Wave motion, v. 44, (4), 2007, p. 231-247
Nolan, Clifford J.; Uhlmann, Gunther
Article

Probing for electrical inclusions with complex spherical waves

Communications on pure and applied mathematics, v. 60, (10), 2007, p. 1415-1442
Ide, Takanori; Isozaki, Hiroshi; Nakata, Susumu; Siltanen, Samuli; Uhlmann, Gunther
Article

Reconstruction of obstacles immersed in an incompressible fluid

Inverse problems and imaging, v. 1, (1), February 2007, p. 63-76
Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan
Article

The boundary rigidity problem in the presence of a magnetic field

Advances in mathematics, v. 216, (2), 2007, p. 535-609
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen D.; Uhlmann, Gunther
Article

The Calderón problem for partial cauchy data

Annals of Math., v. 22, 2007, p. 431-445
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
Article

The Calderón problem with partial data

Annals of mathematics, v. 165, (2), 2007, p. 567-591
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
Article

Unique continuation for hyperbolic equations with memory

Journal of inverse and III-posed problems, v. 15, (6), 2007, p. 587-598
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther
Article

Inverse problems, invisibility, and artificial wormholes

Journal of Physics: Conference Series, v. 124, 2008, article number 012005
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Conference paper
2006 5

Characterization and 'source-receiver' continuation of seismic reflection data

Communications in Mathematical Physics, v. 263, (1), 2006, p. 1-19
De Hoop, Maarten V.; Uhlmann, Gunther
Article

Inverse problems and Applications

Special issue of Computational and Applied Mathematics, v. 25, (2-3), 2006, Petr ́opolis.
Menzala, G. Perla; Uhlmann, Gunther
Conference paper

Oscillating-Decaying Solutions for Elliptic Systems

Workshop on Inverse Problems, Multi-Scale Analysis and Homogenization, Seoul Natl Univ, Seoul, South Korea, JUN 22-24, 2005, Contemporary Mathematics, v. 408, 2006, p. 219-230
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Conference paper

Reconstruction of discontinuities in systems

Journal of Physics: Conference Series, v. 73, June 2007, article number 012024
Uhlmann, Gunther; Wang, Jenn-Nan
Conference paper

The scattering relation and the Dirichlet-to-Neumann map

10th International Conference on Differential Equations and Mathematical Physics, Univ Alabama, Birmingham, Birmingham, AL, MAR 29-APR 02, 2005, RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, Contemporary mathematics, v. 412, 2006, p. 249-262
Pestov, Leonid N.; Uhlmann, Gunther
Conference paper
2005 7

Boundary rigidity and stability for generic simple metrics

Journal of the American Mathematical Society, v. 18, (4), 2005, p. 975-1003
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems

Journal de mathématiques pures et appliquées, v. 84, (1), 2005, p. 21-54
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Recent Progress on the Boundary Rigidity Problem

Electronic Research Announcements of the American Mathematical Society, v. 11, 2005, p. 64-70
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources

Advances in applied mathematics, v. 34, (3), 2005, p. 591-615
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Regularity of ghosts in tensor tomography

Journal of geometric analysis, v. 15, (3), 2005, p. 499-542
Sharafutdinov, Vladimir A.; Skokan, Michal; Uhlmann, Gunther
Article

Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map

International mathematics research notices, (17), 2005, p. 1047-1061
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

Annals of mathematics, v. 161, (2), 2005, p. 1093-1110
Pestov, Leonid N.; Uhlmann, Gunther
Article
2004 13

Hyperbolic geometry and local Dirichlet-Neumann map

Advances in mathematics, v. 188, (2), 2004, p. 294-314
Isozaki, Hiroshi; Uhlmann, Gunther
Article

Inverse problems for the Pauli Hamiltonian in two dimensions

The journal of fourier analysis and applications, v. 10, (2), 2004, p. 201-215
Kang, Hyeonbae; Uhlmann, Gunther
Article

Inverse Problems in N-body scattering

Contemporary Mathematics, v.348, 2004, p. 135-154
Uhlmann, Gunther; Vasy, András
Article

Inverse scattering problem in nuclear physics - Optical model

Journal of mathematical physics, v. 45, (7), 2004, p. 2613-2632
Isozaki, Hiroshi; Nakazawa, Hideo; Uhlmann, Gunther
Article

Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering

Proceedings of the American Mathematical Society, v. 132, (5), 2004, p. 1351-1354
Stefanov, Plamen D.; Uhlmann, Gunther
Article

On characterization of the range and inversion formulas for the geodesic X-ray transform

International mathematics research notices, (80), 2004, p. 4331-4347
Pestov, Leonid N.; Uhlmann, Gunther
Article

Reconstruction of the Potential from Partial Cauchy Data for the Schrödinger Equation

Indiana University mathematics journal, v. 53, (1), 2004, p. 169-183
Ammari, Habib; Uhlmann, Gunther
Article

Stability estimates for the X-ray transform of tensor fields and boundary rigidity

Duke mathematical journal, v. 123, (3), 2004, p. 445-467
Stefanov, Plamen D.; Uhlmann, Gunther
Article

The boundary distance function and the Dirichlet-to-Neumann map

Mathematical research letters, v. 11, (2-3), 2004, p. 285-297
Pestov, Leonid N.; Uhlmann, Gunther
Article

Unique continuation property for elliptic systems and crack determination in anisotropic elasticity

Contemporary Mathematics, v. 362, 2004, p, 321-338
Wang, Jenn-Nan; Nakamura, Gen; Uhlmann, Gunther
Article

Geometric Methods in Inverse Problems and PDE Control


Croke, Christopher B.; Lasiecka, Irena; Uhlmann, Gunther; Vogelius, Michael S.
Book

Partial Differential Equations and Inverse Problems


Conca, Carlos; Manásevich, Raúl; Uhlmann, Gunther; Vogelius, Michael S.
Book

On the Local Dirichlet-to-Neumann Map

New Analytic and Geometric Methods in Inverse Problems / Edited by K. Bingham, Ya. V. Kurylev and E. Somersalo. Berlin: Springer, 2004, p. 261-279
Uhlmann, Gunther
Book chapter
2003 19

Anisotropic inverse problems in two dimensions

Inverse problems, v. 19, (5), 2003, p. 1001-1010
Sun, Ziqi; Uhlmann, Gunther
Article

Boundary determination of a Riemannian metric by the localized boundary distance function

Advances in applied mathematics, v. 31, (2), 2003, p. 379-387
Uhlmann, Gunther; Wang, Jenn-Nan
Article

Complex geometrical optics solutions for Lipschitz conductivities

Revista matemática iberoamericana, v. 19, (1), 2003, p. 57-72
Päivärinta, Lassi Juhani; Panchenko, Alexander; Uhlmann, Gunther
Article

Geometrical optics for generic anisotropic materials

Contemporary Mathematics, v. 333, 2003, p. 177-185
Nolan, Clifford J.; Uhlmann, Gunther
Article

Inverse problems in three-body scattering

Contemporary Mathematics, v. 333, 2003, p. 209-215
Uhlmann, Gunther; Vasy, András
Article

On nonuniqueness for calderón's inverse problem

Mathematical research letters, v. 10, (5-6), 2003, p. 685-693
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
Article

Optical tomography in two dimensions

Methods and Applications of Analysis, v. 10, (1), 2003, p. 1-10
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Propagation of polarization in elastodynamics with residual stress and travel times

Mathematische Annalen, v. 326, (3), 2003, p. 563-587
Hansen, Sönke; Uhlmann, Gunther
Article

Reconstruction of cracks in an inhomogeneous anisotropic elastic medium

Journal de mathématiques pures et appliquées, v. 82, (10), 2003, p. 1251-1276
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Semiglobal boundary rigidity for Riemannian metrics

Mathematische Annalen, v. 325, (4), 2003, p. 767-793
Lassas, Matti; Sharafutdinov, Vladimir A.; Uhlmann, Gunther
Article

The Calderón Problem for Conormal Potentials I: Global Uniqueness and Reconstruction

Communications on pure and applied mathematics, v. 56, (3), 2003, p. 328-352
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
Article

The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary

Communications in analysis and geometry, v. 11, (2), 2003, p. 207-221
Lassas, Matti; Taylor, Michael E.; Uhlmann, Gunther
Article

Inside Out: Inverse Problems and Applications


Uhlmann, Gunther
Book

Inverse Problems: Theory and Applications


Uhlmann, Gunther; Alessandrini, Giovanni
Book

Inverse boundary problems in two dimensions

Function Spaces, Differential Operators and Nonlinear Analysis: The Hans Triebel Anniversary Volume / Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser. Birkhäuser Basel, Switzerland, 2003, p. 183-203
Uhlmann, Gunther
Book chapter

Microlocal analysis of the X-ray transform with sources on a curve

Inside Out, Inverse Problems and Applications / Gunther Uhlmann. The Press Syndicate of the University of Cambridge, The Pitt Building, Trumpington Street, Cambridge, United Kingdom, 2003, p. 193-218
Lan, Ih-Ren; Finch, David V.; Uhlmann, Gunther
Book chapter

The Cauchy data and the scattering relation

Geometric methods in inverse problems and PDE controI / v. 137, 2003, p. 263-288
Uhlmann, Gunther
Book chapter

Anisotropic conductivities that cannot be detected by EIT

1st Mummy Range Workshop on Electrical Impedence Tomography, Colorado State Univ, FT Collins, Colorado, AUG 01-07, 2002, Physiological measurement, v. 24, (2), May 2003, p. 413-419
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
Conference paper

The inverse kinematic problem in anisotropic media

Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyväskylä, Finland, 30 June – 4 July 2003, Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, 2003, p. 39-45
Uhlmann, Gunther
Conference paper
2002 7

Fixed energy inverse problem for exponentially decreasing potentials

Methods and Applications of Analysis, v. 9, 2002, p. 239-247
Vasy, András; Uhlmann, Gunther
Article

Low-energy inverse problems in three-body scattering

Inverse problems, v. 18, (3), 2002, p. 719-736
Uhlmann, Gunther; Vasy, András
Article

Reconstruction of the memory from partial boundary measurements

Contemporary Mathematics, v. 307, 2002, p. 39-46
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther
Article

Recovering a potential from partial Cauchy data

Communications in partial differential equations, v. 27, (3-4), 2002, p. 653-668
Bukhgeǐm, Alexander L.; Uhlmann, Gunther
Article

Complex geometrical optics solutions and pseudoanalytic matrices

Journal of Ill-Posed and Inverse Problems / v. 10, 2002, 305–338.
Nakamura, Gen; Uhlmann, Gunther
Book chapter

Scattering by a metric

Encyclopedia on Scattering / Edited by R. Pike, P. Sabatier. Academic Press, 2002, p. 1668-1677, Chapter 6.1.5
Uhlmann, Gunther
Book chapter

Recovering acoustic and elastic parameters from travel times

ASME International Mechanical Engineering Congress and Exposition, Proceedings, 2002, p. 1-6
Uhlmann, Gunther; Hansen, Sönke
Conference paper
2001 8

A time-dependent approach to the inverse backscattering problem

Inverse problems, v. 17, (4), 2001, p. 703-716
Uhlmann, Gunther
Article

Characteristic space-time estimates for the wave equation

Mathematische Zeitschrift, v. 236, (1), 2001, p. 113-131
Greenleaf, Allan; Uhlmann, Gunther
Article

Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform

Duke mathematical journal, v. 108, (3), 2001, p. 599-617
Greenleaf, Allan; Uhlmann, Gunther
Article

On determining a Riemannian manifold from the Dirichlet-to-Neumann map

Annales scientifiques de l'Ecole normale supérieure, v. 34, (5), 2001, p. 771-787
Lassas, Matti; Uhlmann, Gunther
Article

Recent progress in the anisotropic electrical impedance problem

Electronic Journal of Differential Equations (EJDE), Proc. of conferences, v. 6, 2001, p. 303-311
Uhlmann, Gunther
Article

The x-ray transform for a non-Abelian connection in two dimensions

Inverse problems, v. 17, (4), 2001, p. 695-701
Finch, David V.; Uhlmann, Gunther
Article

Travel time tomography

Journal of the Korean Mathematical Society, v. 38, (4), 2001, p. 711-722
Uhlmann, Gunther
Article

Inverse scattering in anisotropic media

Surveys on Solution Methods for Inverse Problems / Edited by David Colton, Heinz W. Engl, Alfred Louis, Joyce R. McLaughlin, William Rundell, New York: Springer Vienna, 2001, p. 235-251
Uhlmann, Gunther
Book chapter
2000 1

On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points

Journal of differential geometry, v. 56, (1), 2000, p. 93-110
Sharafutdinov, Vladimir A.; Uhlmann, Gunther
Article
1999 3

Inverse elastic scattering at a fixed energy

Journal of Inverse and Ill Posed Problems, v. 7, (3), 1999, p. 283-288
Nakamura, Gen; Uhlmann, Gunther
Article

Layer stripping for a transversely isotropic elastic medium

SIAM journal on applied mathematics, v. 59, (5), 1999, p. 1879-1891
Nakamura, Gen; Tanuma, Kazumi; Uhlmann, Gunther
Article

Developments in inverse problems since Calderon’s foundational paper

Harmonic Analysis and Partial Differential Equations in honor of Alberto P. Calderon / Edited by M. Christ, C. Kenig, C. Sadosky, U.S.: University of Chicago Press, 1999, p. 295–345, Chapter 19
Uhlmann, Gunther
Book chapter
1998 4

Inverse Boundary Value Problems for Partial Differential Equations

Documenta Mathematica, Extra Volume ICM 98, v. III, 1998, 77–86
Uhlmann, Gunther
Article

Rigidity for metrics with the same lengths of Geodesics

Mathematical research letters, v. 5, (1-2), 1998, p. 83-96
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Stability Estimates for the Hyperbolic Dirichlet to Neumann Map in Anisotropic Media

Journal of functional analysis, v. 154, (2), 1998, p. 330-358
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Uniqueness for a wave propagation inverse problem in a half-space

Inverse problems, v. 14, (3), 1998, p. 679-684
Lassas, Matti; Cheney, Margaret; Uhlmann, Gunther
Article
1997 4

Inverse backscattering for the acoustic equation

SIAM journal on mathematical analysis, v. 28, (5), 1997, p. 1191-1204
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Inverse problems in quasilinear anisotropic media

American journal of mathematics, v. 119, (4), 1997, p. 771-797
Sun, Ziqi; Uhlmann, Gunther
Article

Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions

Communications in partial differential equations, v. 22, (5-6), 1997, p. 1009-1027
Brown, Russell M.; Uhlmann, Gunther
Article

A layer stripping algorithm in elastic impedance tomography

IMA Volume 90 “Inverse Problems in Wave Propagation” / Edited by G. Chavent, G. Papanicolau, P. Sacks and W. Symes, New York: Springer, 1997, p. 375-384
Nakamura, Gen; Uhlmann, Gunther
Book chapter
1996 2

Inverse problems in non-linear media

Journées équations aux dérivées partielles, Saint-Jean des Monts, v. XIV, 1996, p. 1–11
Sun, Ziqi; Uhlmann, Gunther
Article

Inverse boundary value problems for elastic materials

Inverse Problems in Geophysical Applications (Proceedings in Applied Mathematics) /Edited by Heinz W. Engl, Alfred Karl Louis, William Rundell, Philadelphia, P.A.: SIAM, 1996, (197), p. 12–26
Uhlmann, Gunther
Book chapter
1995 3

Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field

Mathematische Annalen, v. 303, (1), December 1995, p. 377-388
Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther
Article

Inverse Problems at the Boundary for an Elastic Medium

SIAM journal on mathematical analysis, v. 26, (2), p. 263-279
Nakamura, Gen; Uhlmann, Gunther
Article

Elastic impedance tomography

Proceedings of the 1995 ASME Design Engineering Technical Conference, Part C, Boston, MA, USA,17–20 September 1995, v. 84, (3), 1995, p. 987–992
Nakamura, Gen; Uhlmann, Gunther
Conference paper
1994 3

Global uniqueness for an inverse boundary problem arising in elasticity

Inventiones mathematicae, v. 118, (1), 1994, p. 457-474
Nakamura, Gen; Uhlmann, Gunther
Article

Inverse Boundary and Scattering Problems for an Elastic Medium

Proceedings of the Second International Symposium on Inverse Problems, Paris, France, 2-4 November 1994, Inverse Problems in Engineering Mechanics, 1994, p. 165-168
Nakamura, Gen; Uhlmann, Gunther
Conference paper

The modified Radon transform of Lax and Phillips in scattering theory

Proceedings of the Conference: “75 Years of the Radon transform”, ERWIN SCHRODINGER INT INST MATH PHYS, VIENNA, AUSTRIA, AUG 31-SEP 04, 1992, v. 4, 1994, p. 161–166
Greenleaf, Allan; Uhlmann, Gunther
Conference paper
1993 5

Identification of Lame parameters from boundary measurements

American journal of mathematics, v. 115, (5), October 1993, p. 1161-1187
Nakamura, Gen; Uhlmann, Gunther
Article

Inverse boundary value problems for first order perturbations of the Laplacian

Lectures in Applied Mathematics, v. 30, 1993, p. 245–258
Uhlmann, Gunther
Article

Inverse Scattering for Singular Potentials in Two Dimensions

Transactions of the American Mathematical Society, v. 338, (1), July 1993, p. 363-374
Sun, Ziqi; Uhlmann, Gunther
Article

Recovering singularities of a potential from singularities of scattering data

Communications in Mathematical Physics, v. 157, (3), 1993, p. 549-572
Greenleaf, Allan; Uhlmann, Gunther
Article

Recovery of singularities for formally determined inverse problems

Communications in Mathematical Physics, v. 153, (3), 1993, p. 431-445
Sun, Ziqi; Uhlmann, Gunther
Article
1992 3

An inverse boundary value problem for Maxwell's equations

Archive for rational mechanics and analysis, v. 119, (1), 1992, p. 71-93
Sun, Ziqi; Uhlmann, Gunther
Article

Inverse Boundary-Value-Problems and Applications

Astérisque, v. 207, 1992, p. 153-211
Uhlmann, Gunther
Article

Microlocal analysis of the two-plane transform

Contemporary Mathematics, v. 140, 1992, p. 65–71
Greenleaf, Allan; Uhlmann, Gunther
Article
1991 5

Composition of some singular Fourier integral operators and estimates for restricted x-ray transforms 2

Duke mathematical journal, v. 64, (3), December 1991, p. 415-444
Greenleaf, Allan; Uhlmann, Gunther
Article

Generic uniqueness for an inverse boundary value problem

Duke Mathematical Journal, v. 62, (1), February 1991, p. 131-155
Sun, Ziqi; Uhlmann, Gunther
Article

Inverse problems in anisotropic media

Contemporary Mathematics, v. 122, 1991, p. 105–117
Sylvester, John; Uhlmann, Gunther
Article

Generic uniqueness for determined inverse problems in 2 dimensions

Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoto, Japan, 1991, p. 145–152
Sun, Ziqi; Uhlmann, Gunther
Conference paper

Uniqueness for Identifying Lamé Moduli by Dirichlet to Neumann Map

Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoyo, Japan, 1991, p. 133–138
Nakamura, Gen; Uhlmann, Gunther
Conference paper
1990 3

Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms

Annales de l'institut Fourier, v. 40, (2), 1990, p. 443-466
Greenleaf, Allan; Uhlmann, Gunther
Article

Estimates for singular radon transforms and pseudodifferential operators with singular symbols

Journal of functional analysis, v. 89, (1), 1990, p. 202-232
Greenleaf, Allan; Uhlmann, Gunther
Article

Microlocal techniques in integral geometry

Contemporary Mathematics, v. 113, 1990, p. 121–135
Greenleaf, Allan; Uhlmann, Gunther
Article
1989 3

Determining anisotropic real-analytic conductivities by boundary measurements

Communications on Pure and Applied Mathematics, v. 42, (8), December 1989, p. 1097-1112
Lee, John M.; Uhlmann, Gunther
Article

Non-local inversion formulas for the X-ray transform

Duke Mathematical Journal, v. 58, (1), February 1989, p. 205-240
Greenleaf, Allan; Uhlmann, Gunther
Article

The Dirichlet to Neumann map and applications

SIAM proceedings series list, Inverse Problems in Partial Differential Equations, Humboldt State University, Arcata, California, July 29–August 4 1989
Sylvester, John; Uhlmann, Gunther
Conference paper
1988 4

An n-dimensional Borg-Levinson theorem

Communications in Mathematical Physics, v. 115, (4), 1988, p. 595-605
Nachman, Adrian I.; Sylvester, John; Uhlmann, Gunther
Article

Inverse Boundary Value Problems

Lecture Notes in Mathematics, v. 1324, 1988, p. 320-328
Sylvester, John; Uhlmann, Gunther
Article

Inverse Boundary-Value Problems at the Boundary - Continuous Dependence

Communications on pure and applied mathematics, v. 41, (2), March 1988, p. 197-219
Sylvester, John; Uhlmann, Gunther
Article

Microlocal Analysis and Scattering theory

Partial Differential Operators: Proceedings of ELAM VIII, held in Rio de Janeiro, July 14-25, 1986 (Lecture Notes in Mathematics - 1324) / edited by by Fernando A. Cardoso, Djairo G. de Figueiredo, Rafael Iorio, Orlando Lopes. Berlin: Springer (1988) p. 320-328
Sylvester, John; Uhlmann, Gunther
Conference paper
1987 2

A global uniqueness theorem for an inverse boundary value problem

Annals of Mathematics, v. 125, (1), 1987, p. 153-169
Sylvester, John; Uhlmann, Gunther
Article

Remarks on an inverse boundary value problem

Proceedings Oberwolfach Conference on topics in Pseudo differential Operator, 2–8 February 1986, Lecture Notes in Mathematics, 1987, p. 430-441
Sylvester, John; Uhlmann, Gunther
Conference paper
1986 3

A uniqueness theorem for an inverse boundary value problem in electrical prospection

Communications on Pure and Applied Mathematics, v. 39, (1), 1986, p. 91-112
Sylvester, John; Uhlmann, Gunther
Article

Inverse Boundary Value Problems

Proceedings VIII ELAM, Rio de Janeiro, July 14–25 1986, Partial Differential Equations, Lecture Notes in Mathematics, v. 1324, 1988, p. 320–328
Sylvester, John; Uhlmann, Gunther
Conference paper

Product type conormal distributions in scattering theory

Dynamical Systems and Partial Differential Equations: Proceedings of the VII ELAM (Escuela Latinoamericana de Matematicas VII, Universidad Simon Bolivar, Caracas, 16-27 Junio 1984) / Edited by Lara-Carrero, Lorenzo & Jorge Lewowicz. Baldwin City, KS: Michener & Rutledge Booksellers, Inc.1986, p. 155-160
Uhlmann, Gunther
Conference paper
1985 3

Scattering by a potential

Lecture Notes in Spanish, Acta Cientifica Venezolana, v. 36, 1985, p. 1-18
Uhlmann, Gunther
Article

A boundary canonical transformation for a class of operators with double characteristics

Proceedings of the First Chilean Symposium on Mathematics, Lecture Notes in Pure and Appl. Math., Universidad Técnica Federico Santa María, Analysis Geometry and Probability, , v. 93, 1985, p. 53–68
Uhlmann, Gunther
Conference paper

A functional calculus for a class of pseudodifferential operators with singular symbols

Proceedings of the Symposium on Pseudodifferential Operators and Fourier Integral Operators with Applications to Partial Differential Equations, Notre Dame, Indiana, April 2-5, 1984, Proceedings of Symposia in Pure Mathematics, v. 43, 1985, p. 5-16
Antoniano, José L.; Uhlmann, Gunther
Conference paper
1984 2

A sufficient condition for local solvability for a class of operators with double characteristics

American Journal of Mathematics, v. 106, (1), 1984, p. 187-217
Mendoza, Gerardo A.; Uhlmann, Gunther
Article

Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients

Bulletin of the American Mathematical Society, v. 11, (1), 1984, p. 172-176
Callias, Constantine J.; Uhlmann, Gunther
Article
1983 1

A necessary condition for local solvability for a class of operators with double characteristics

Journal of functional analysis, v. 52, (2), 1983, p. 252-256
Mendoza, Gerardo A.; Uhlmann, Gunther
Article
1982 1

Light intensity distribution in conical refraction

Communications on Pure and Applied Mathematics, v.35, (1), 1982, p. 69-80
Uhlmann, Gunther
Article
1981 1

Oscillatory integrals with singular symbols

Duke Mathematical Journal, v. 48, (1), 1981, p. 251-267
Guillemin, Victor; Uhlmann, Gunther
Article
1979 3

Lagrangian intersection and the Cauchy problem

Communications on Pure and Applied Mathematics, v.32, (4), 1979, p. 483-519
Melrose, Richard B.; Uhlmann, Gunther
Article

Microlocal structure of involutive conical refraction

Duke Mathematical Journal, v. 46, (3), 1979, p. 571-582
Melrose, Richard B.; Uhlmann, Gunther
Article

Parametrices for operators with multiple involutive characteristics

Communications in Partial Differential Equations, v. 4, (7), 1979, p. 739-767
Uhlmann, Gunther
Article
1977 1

Pseudo-differential operators with involutive double characteristics

Communications in Partial Differential Equations, v. 2, (7), 1977, p. 713-779
Uhlmann, Gunther
Article
Article 2

Recovery of Black Hole Mass from a Single Quasinormal Mode

Communications in Mathematical Physics, February 2023
Uhlmann, Gunther; Wang, Yiran

Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements

Archive for Rational Mechanics and Analysis, v. 247, (1), January 2023, article number 6
Kian, Yavar; Uhlmann, Gunther Alberto Arancibia
Article 7

An Inverse Boundary Value Problem for a Semilinear Wave Equation on Lorentzian Manifolds

International Mathematics Research Notices, v. 2022, (17), August 2022, article number rnab088, p. 13181-13211
Hintz, Peter; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian

An inverse problem for a quasilinear convection–diffusion equation

Nonlinear Analysis, v. 222, September 2022, article number 112921
Feizmohammadi, Ali; Kian, Yavar; Uhlmann, Gunther Alberto Arancibia

NONLINEAR ULTRASOUND IMAGING MODELED BY A WESTERVELT EQUATION

SIAM Journal on Applied Mathematics, v. 82, (2), 14 March 2022, p. 408-426
Acosta, Sebastian; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian

On the scientific work of Victor Isakov

Inverse Problems and Imaging, v. 16, (6), December 2022, p. 1429-1445
Krupchyk, Katya; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia; Wang, Jenn-Nan

Partial data inverse problems for quasilinear conductivity equations

Mathematische Annalen, 11 March 2022
Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia

The Dirichlet-to-Neumann Map for a Semilinear Wave Equation on Lorentzian Manifolds

Communications in Partial Differential Equations, September 2022
Hintz, Peter; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian

The higher order fractional Calderón problem for linear local operators: Uniqueness

Advances in Mathematics, v. 399, 16 April 2022, article number 108246
Covi, Giovanni; Mönkkönen, Keijo; Railo, Jesse; Uhlmann, Gunther
Article 9

Generic uniqueness and stability for the mixed ray transform

Transactions of the American Mathematical Society, v. 374, (9), September 2021, p. 6085-6144
De Hoop, Maarten V.; Saksala, Teemu; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian

Inverse problems for the fractional-Laplacian with lower order non-local perturbations

Transactions of the American Mathematical Society, v. 374, (5), May 2021, p. 3053-3075
Bhattacharyya, Sombuddha; Ghosh, Tuhin; Uhlmann, Gunther Alberto Arancibia

Local and global boundary rigidity and the geodesic X-ray transform in the norma gauge

Annals of Mathematics, v. 194, (1), July 2021, p. 1-95
Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia; Vasy, Andras

On an inverse boundary value problem for a nonlinear elastic wave equation

Journal des Mathematiques Pures et Appliquees, v. 153, September 2021, p. 114-136
Uhlmann, Gunther Alberto Arancibia; Zhai, Jian

Optimality of increasing stability for an inverse boundary value problem

SIAM Journal on Mathematical Analysis, v. 53, (6), December 2021, p. 7062-7080
Kow, Pu-Zhao; Uhlmann, Gunther Alberto Arancibia; Wang, Jenn-Nan

Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds

Journal of Functional Analysis, v. 281, (9), November 2021, article number 109191
Feizmohammadi, Ali; Krupchyk, Katya; Oksanen, Lauri; Uhlmann, Gunther Alberto Arancibia

Reconstruction of the collision kernel in the nonlinear Boltzmann equation

SIAM Journal on Mathematical Analysis, v. 53, (1), February 2021, p. 1049-1069
Lai, Ru-Yu; Uhlmann, Gunther Alberto Arancibia; Yang, Yang

The Calderón Inverse Problem for Isotropic Quasilinear Conductivities

Advances In Mathematics, v. 391, 19 November 2021, article number 107956
Cârstea, Cătălin I.; Feizmohammadi, Ali; Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia

Travel Time Tomography in Stationary Spacetimes

Journal of Geometric Analysis, 23 February 2021
Uhlmann, Gunther Alberto Arancibia; Yang, Yang; Zhou, Hanming
Article 11

A remark on partial data inverse problems for semilinear elliptic equations

Proceedings of the American Mathematical Society, v. 148, (2), February 2020, p. 681-685
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia

Convolutional neural networks in phase space and inverse problems

SIAM Journal on Applied Mathematics, v. 80, (6), December 2020, p. 2560-2585
Uhlmann, Gunther Alberto Arancibia; Wang, Yiran

Determination of Space-Time Structures from Gravitational Perturbations

Communications on Pure and Applied Mathematics, v. 73, (6), June 2020, p. 1315-1367
Uhlmann, Gunther Alberto Arancibia; Wang, Yiran

Inverse Problems for Nonlinear Hyperbolic Equations

Discrete and Continuous Dynamical Systems - Series A, v. 41, (1), January 2021, p. 455-469
Uhlmann, Gunther Alberto Arancibia; Zhai, Jian

Nonlinear interaction of waves in elastodynamics and an inverse problem

Mathematische Annalen, v. 376, (1-2), February 2020, p. 765-795
De Hoop, Maarten; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran

Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities

Mathematical Research Letters, v. 27, (6), 2020, p. 1801-1824
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia

Recovery of discontinuous Lamé parameters from exterior Cauchy data

Communications in Partial Differential Equations, January 2021
Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia

Recovery of Material Parameters in Transversely Isotropic Media

Archive for Rational Mechanics and Analysis, v. 235, (1), January 2020, p. 141-165
de Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Vasy, András

The Calderón problem for the fractional Schrödinger equation

Analysis and PDE, v. 13, (2), 2020, p. 455-475
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther

The Light Ray Transform on Lorentzian Manifolds

Communications in Mathematical Physics, 2020
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia

Uniqueness and reconstruction for the fractional Calderón problem with a single measurement

Journal of Functional Analysis, v. 279, (1), July 2020, article number 108505
Ghosh, Tuhin; Rüland, Angkana; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia
Article 13

Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling

SIAM Journal on Applied Mathematics, v. 79, (6), December 2019, p. 2340-2358
Lai, Ru-Yu; Li, Qin; Uhlmann, Gunther Alberto Arancibia

Inverting the local geodesic ray transform of higher rank tensors

Inverse Problems, v. 35, (11), October 2019, article number 115009
De Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian

Lens Rigidity for a Particle in a Yang-Mills Field

Communications in Mathematical Physics, v. 366, (2), March 2019, p. 681-707
Paternain, Gabriel P.; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming

Nonlinear Responses From The Interaction Of Two Progressing Waves At An Interface

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 36, (2), March - April 2019, p. 347-363
De Hoop, Maarten V.; Uhlmann, Gunther A.; Wang, Yiran

Numerical Inversion of Three-Dimensional Geodesic X-Ray Transform Arising from Travel Time Tomography

SIAM JOURNAL ON IMAGING SCIENCES, v. 12, (3), 2019, p. 1296-1323
Yeung, T. S. Au; Chung, Eric T.; Uhlmann, Gunther Alberto Arancibia

On an Inverse Boundary Problem Arising in Brain Imaging

Journal of Differential Equations, v. 267, (4), August 2019, p. 2471-2502
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther Alberto Arancibia

Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets

International Mathematics Research Notices, v. 2019, (22), November 2019, p. 6949-6987
Hintz, Peter; Uhlmann, Gunther Alberto Arancibia

Reconstruction of Piecewise Smooth Wave Speeds Using Multiple Scattering

Transactions of the American Mathematical Society, v. 372, (2), July 2019, p. 1213-1235
Caday, Peter; De Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia

Scattering Control for the Wave Equation with Unknown Wave Speed

Archive for Rational Mechanics and Analysis, v.231, (1), January 2019, p. 409-464
Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia

Stability Estimates for Partial Data Inverse Problems for Schrödinger Operators in the High Frequency Limit

Journal des Mathematiques Pures et Appliquees, v. 126, June 2019, p. 273-291
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia

The geodesic X-ray transform with matrix weights

American Journal of Mathematics, v. 141, (6), December 2019, p. 1707-1750
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming

Travel Time Tomography

Acta Mathematica Sinica, English Series, v. 35, (6), June 2019, p. 1085-1114
Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia; Vasy, András; Zhou, Hanming

X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds

Annales de l'Institut Fourier, v. 69, (7), 2019, p. 2857-2919
Graham, C.Robin; Guillarmou, Colin; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia
Article 10

Inverse problems for advection diffusion equations in admissible geometries

Communications in Partial Differential Equations, v. 43, (4), April 2018, p. 585-615
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia

Inverse Problems for Magnetic Schrödinger Operators in Transversally Anisotropic Geometries

Communications in Mathematical Physics, v. 361, (2), July 2018, p. 525-582
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia

Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds

Communications in Mathematical Physics, v. 360, (2), June 2018, p. 555-609
Lassas, Matti; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran

Inversion Formulas and Range Characterizations For The Attenuated Geodesic Ray Transform

Journal des Mathematiques Pures et Appliquees, v. 111, March 2018, p. 161-190
Assylbekov, Yernat M.; Monard, Francois; Uhlmann, Gunther Alberto Arancibia

Inverting the Local Geodesic X-ray Transform on Tensors

Journal d'Analyse Mathematique, v. 136, (1), October 2018, p. 151-208
Stefanov, Plamen; Uhlmann, Gunther; Vasy, András

Local Recovery of the Compressional and Shear Speeds from the Hyperbolic DN Map

Inverse Problems, v. 34, (1), January 2018, article number 014003
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras

On the inverse problem of finding cosmic strings and other topological defects

Communications in Mathematical Physics, v. 357, (2), January 2018, p. 569-595
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia

On The Microlocal Snalysis of The Geodesic X-ray Transform With Conjugate Points

Journal of Differential Geometry, v. 108, (3), March 2018, p. 459-494
Holman, Sean; Uhlmann, Gunther Alberto Arancibia

Quantitative Analysis of Metal Artifacts in X-ray Tomography

SIAM Journal on Mathematical Analysis, v. 50, (5), 2018, p. 4914-4936
Palacios, Benjamin; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran

Tensor Tomography in Periodic Slabs

Journal of Functional Analysis, v. 275, (2), July 2018, p. 288-299
Ilmavirta, J.; Uhlmann, Gunther Alberto Arancibia
Article 3

An Inverse Problem from Condensed Matter Physics

Inverse Problems, v. 33, (11), October 2017, article number 115011
Lai, Ruyu; Shankar, Ravi; Spirn, Daniel; Uhlmann, Gunther A.

Full and Partial Cloaking in Electromagnetic Scattering

Archive for Rational Mechanics and Analysis, v. 223, (1), January 2017, p. 265-299
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther A.

Reducing Streaking Artifacts in Quantitative Susceptibility Mapping

SIAM Journal on Imaging Sciences, v. 10, (4), 2017, p. 1921-1934
Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran
Article 5

Boundary rigidity with partial data

Journal of the American Mathematical Society, v. 29, (2), 2016, p. 299-332
Stefanov, Plamen D.; Uhlmann, Gunther A.; Vasy, Andras

Local analytic regularity in the linearized calderón problem

Analysis & PDE, v. 9, (3), June 2016, p. 515-544
Sjöstrand, Johannes; Uhlmann, Gunther Alberto Arancibia

The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives

Communications in Mathematical Physics, v. 348, (1), November 2016, p. 185-219
Krupchyk, Katya; Uhlmann, Gunther

The inverse problem for the local geodesic ray transform

Inventiones Mathematicae, v. 205, (1), July 2016, p. 83-120
Uhlmann, Gunther Alberto Arancibia; Vasy, András

The X-Ray Transform for Connections in Negative Curvature

Communications in Mathematical Physics, v. 343, (1), April 2016, p. 83-127
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia
Article 9

An inverse kinematic problem with internal sources

Inverse Problems, v. 31, (5), May 2015, article number 055006
Pestov, Leonid N.; Uhlmann, Gunther; Zhou, Hanming

Determining both sound speed and internal source in thermo-and photo-acoustic tomography

Inverse Problems, v. 31, (10), September 2015, article number 105005
Liu, Hongyu; Uhlmann, Gunther

Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

Mathematische Annalen, v. 363, (1-2), October 2015, p. 305-362
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther

On LpResolvent Estimates for Elliptic Operators on Compact Manifolds

Communications in Partial Differential Equations, v. 40, (3), March 2015, p. 438-474
Krupchyk, Katsiaryna; Uhlmann, Gunther

On the range of the attenuated ray transform for unitary connections

International Mathematics Research Notices, v. 2015, (4), 2015, p. 873-897
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther

Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields

SIAM Journal on Applied Mathematics, v. 75, (5), 2015, p. 2214-2231
Bal, Guillaume P.; Monard, François; Uhlmann, Gunther

Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak

Communications in Mathematical Physics, v. 335, (2), 2015, p. 671-712
Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther

The geodesic ray transform on Riemannian surfaces with conjugate points

Communications in Mathematical Physics, v. 337, (3), August 2015, p. 1491-1513
Monard, François; Stefanov, Plamen D.; Uhlmann, Gunther

The Neumann-to-Dirichlet map in two dimensions

Advances in Mathematics, v. 281, August 2015, p. 578-593
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article 9

Inverse Boundary Value Problem for the Stokes and the Navier–Stokes Equations in the Plane

Archive for Rational Mechanics and Analysis, v. 215, (3), 2014, p. 811-829
Lai, Ruyu; Uhlmann, Gunther; Wang, Jenn-Nan

Inverse boundary value problems for the perturbed polyharmonic operator

Transactions of the American Mathematical Society, v. 366, (1), January 2014, p. 95-112
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther

Inverse problems: seeing the unseen

Bulletin of Mathematical Sciences, v. 4, (2), January 2014, p. 209-279
Uhlmann, Gunther

Photoacoustic and thermoacoustic tomography with an uncertain wave speed

Mathematical Research Letters, v. 21, (5), 2014, p. 1199-1214
Oksanen, Lauri; Uhlmann, Gunther

Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD

Inverse Problems and Imaging, v. 8, (4), November 2014, p. 1-2
Hamilton, Sarah; Knudsen, Kim; Siltanen, Samuli; Uhlmann, Gunther

Spectral rigidity and invariant distributions on anosov surfaces

Journal of Differential Geometry, v. 98, (1), 2014, p. 147-181
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther

Tensor tomography: Progress and challenges

Chinese Annals of Mathematics. Series B, v. 35, (3), 2014, p. 399-428
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther

Uniqueness for the inverse backscattering problem for angularly controlled potentials

Inverse Problems, v. 30, (6), 2014, article number 065005
Rakesh; Uhlmann, Gunther

Uniqueness in an Inverse Boundary Problem for a Magnetic Schrödinger Operator with a Bounded Magnetic Potential

Communications in Mathematical Physics, v. 327, (3), 2014, p. 993-1009
Krupchyk, Katsiaryna; Uhlmann, Gunther
Article 8

Increasing stability in an inverse problem for the acoustic equation

Inverse Problems, v. 29, (2), February 2013, article number 025012
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan

Instability of the linearized problem in multiwave tomography of recovery both the source and the speed

Inverse Problems and Imaging, v. 7, (4), November 2013, p. 1367-1377
Stefanov, Plamen D.; Uhlmann, Gunther

Inverse Boundary Problems for Systems in Two Dimensions

Annales Henri Poincare, v. 14, (6), September 2013, p. 1551-1571
Albin, Pierre; Guillarmou, Colin; Tzou, Leo; Uhlmann, Gunther

Is a curved flight path in SAR better than a straight one?

SIAM Journal on Applied Mathematics, v. 73, (4), 2013, p. 1596-1612
Stefanov, Plamen D.; Uhlmann, Gunther

Multiscale discrete approximations of Fourier integral operators associated with canonical transformations and caustics

Multiscale Modeling and Simulation, v. 11, (2), 2013, p. 566-585
De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András; Wendt, Herwig

Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions

Communications on Pure and Applied Mathematics, v. 66, (10), October 2013, p. 1629-1652
Bal, Guillaume P.; Uhlmann, Gunther

Recovery of a source term or a speed with one measurement and applications

Transactions of the American Mathematical Society, v. 365, (11), 2013, p. 5737-5758
Stefanov, Plamen D.; Uhlmann, Gunther

Tensor tomography on surfaces

Inventiones Mathematicae, v. 193, (1), July 2013, p. 229-247
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Book 1

Inverse Problems and Applications: Inside Out II


Uhlmann, Gunther
Book chapter 1

Multi-wave methods via ultrasound

Inverse Problems and Applications: Inside Out II / Edited by Gunther Uhlmann. Cambridge : Cambridge University Press, 2013, p. 271-323
Stefanov, Plamen D.; Uhlmann, Gunther
Article 9

Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics

Proceedings of the National Academy of Sciences of the United States of America, v. 109, (26), June 2012, p. 10169-10174
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Leónhardt, Ulf; Uhlmann, Gunther

Determining a first order perturbation of the biharmonic operator by partial boundary measurements

Journal of Functional Analysis, v. 262, (4), 2012, p. 1781–1801
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther

Inverse Problems With Partial Data for a Magnetic Schrödinger Operator in an Infinite Slab and on a Bounded Domain

Communications in Mathematical Physics, v. 312, (1), 2012, p. 87-126
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther

On uniqueness of Lamé coefficients from partial Cauchy data in three dimensions

Inverse problems, v. 28, (12), November 2012, article number 125002
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro

Partial Cauchy data for general second order elliptic operators in two dimensions

Publications of the Research Institute for Mathematical Sciences, v. 48, (4), 2012, p. 971-1055
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro

Reconstructions for some coupled-physics inverse problems

Applied mathematics letters, v. 25, (7), 2012, p. 1030-1033
Bal, Guillaume P.; Uhlmann, Gunther

Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness

Applied and computational harmonic analysis, v. 33, (3), 2012, p. 330-353
De Hoop, Maarten V.; Holman, Sean F.; Smith, Hart F.; Uhlmann, Gunther

The attenuated ray transform for connections and Higgs fields

Geometric and functional analysis, v. 22, (5), 2012, p. 1460-1489
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther

The geodesic x-ray transform with fold caustics

Analysis & PDE, v. 5, (2), 2012, p. 219-260
Stefanov, Plamen D.; Uhlmann, Gunther
Article 20

An adaptive phase space method with application to reflection traveltime tomography

Inverse problems, v. 27, (11), 2011, article number 115002
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai

An efficient neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed

SIAM journal on imaging sciences, v. 4, (3), 2011, p. 850-883
Qian, Jianliang; Stefanov, Plamen D.; Uhlmann, Gunther; Zhao, Hongkai

Approximate quantum and acoustic cloaking

Journal of Spectral Theory, v. 1, (1), 2011, p. 27-80
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain

Indiana University mathematics journal, v. 60, (6), 2011, p. 2093-2106
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan

Calderon's paper "On an inverse boundary value problem"

Revista matemática iberoamericana, 2011, p. 297+
Uhlmann, Gunther

Cloaking a sensor for three-dimensional Maxwell's equations: Transformation optics approach

Optics express, v. 19, (21), 2011, p. 20518-20530
Chen, Xudong; Uhlmann, Gunther

Cloaking a sensor via transformation optics

Physical Review E, v. 83, (1), January 2011, article number 016603
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

Decoupling of modes for the elastic wave equation in media of limited smoothness

Communications in partial differential equations, v. 36, (10), 2011, p. 1683-1693
Brytik, Valeriy; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther

Determination of second-order elliptic operators in two dimensions from partial Cauchy data

Proceedings of the National Academy of Sciences of the United States of America, v. 108, (2), January 2011, p. 467-472
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro

Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets

Inverse problems, v. 27, (8), 2011, article number 085007
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro

Inverse problems for differential forms on riemannian manifolds with boundary

Communications in partial differential equations, v. 36, (8), 2011, p. 1475-1509
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther

Inverse problems for the anisotropic maxwell equations

Duke mathematical journal, v. 157, (2), 2011, p. 369-419
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther

Polarization-invariant directional cloaking by transformation optics

Progress In Electromagnetics Research, v. 118, 2011, p. 415-423
Agarwal, Krishna; Chen, Xudong; Hu, Li; Liu, Hongyu; Uhlmann, Gunther

Quantitative strong unique continuation for the Lamé system with less regular coefficients

Methods and Applications of Analysis, v. 18, (1), 2011, p. 85-92
Uhlmann, Gunther; Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan

Quantitative thermo-acoustics and related problems

Inverse problems, v. 27, (5), 2011, article number 055007
Bal, Guillaume P.; Ren, Kui; Uhlmann, Gunther; Zhou, Ting

Reconstruction of penetrable obstacles in acoustic scattering

SIAM journal on mathematical analysis, v. 43, (1), 2011, p. 189-211
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan

Reconstructions from boundary measurements on admissible manifolds

Inverse problems and imaging, v. 5, (4), 2011, p. 859-877
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther

The attenuated ray transform on simple surfaces

Journal of differential geometry, v. 88, (1), 2011, p. 161-187
Salo, Mikko; Uhlmann, Gunther

Thermoacoustic tomography arising in brain imaging

Inverse problems, v. 27, (4), 2011, article number 045004
Stefanov, Plamen D.; Uhlmann, Gunther

Universal multi-scale computations of Fourier integral operators for coherent imaging in caustics

SEG technical program expanded abstracts, v. 30, (1), 2011, p. 2936-2940
Wendt, Herwig; De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András
Book 1

Tomography and Inverse Transport Theory


Bal, Guillaume P.; Kuchment, Peter; Stefanov, Plamen D.; Schotland, John; Uhlmann, Gunther
Book chapter 1

Wave Phenomena

Handbook of Mathematical Methods in Imaging / Otmar Schetzer editor. New York: Springer-Verlag, 2011, p. 867-909
Lassas, Matti; Salo, Mikko; Uhlmann, Gunther
Article 8

Inverse diffusion theory of photoacoustics

Inverse problems, v. 26, (8), August 2010, article Number: 085010
Bal, Guillaume P.; Uhlmann, Gunther

Inverse problems with partial data in a slab

Inverse problems and imaging, v. 4, (3), 2010, p. 449-462
Li, Xiaosheng; Uhlmann, Gunther

Inverse scattering for the magnetic Schrödinger operator

Journal of functional analysis, v. 259, (7), 2010, p. 1771-1798
Päivärinta, Lassi Juhani; Salo, Mikko; Uhlmann, Gunther

Methods and Applications of Analysis: Preface

Methods and Applications of Analysis, v. 17, no. 4 (Dec 2010) p. i-ii
Uhlmann, G.; Chung, Tsz Shun; Yamamoto, Masahiro; Zou, Jun

Optimal three-ball inequalities and quantitative uniqueness for the Stokes system

Discrete and Continuous Dynamical Systems, v. 28, (3), November 2010, p. 1273-1290
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan

Reconstructing the metric and magnetic field from the scattering relation

Inverse problems and imaging, v. 4, (3), 2010, p. 397-409
Dairbekov, Nurlan S.; Uhlmann, Gunther

Rigidity of broken geodesic flow and inverse problems

American journal of mathematics, v. 132, (2), 2010, p. 529-562
Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

The calderón problem with partial data in two dimensions

Journal of the American Mathematical Society, v. 23, (3), 2010, p. 655-691
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article 12

A depth-dependent stability estimate in electrical impedance tomography

Inverse problems, v. 25, (7), 2009, article number 075001
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan

Cloaking devices, electromagnetic wormholes, and transformation optics

SIAM review, v. 51, (1), 2009, p. 3-33
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

Electrical impedance tomography and Calderón's problem

Inverse problems, v. 25, (12), 2009, article number 123011
Uhlmann, Gunther

Invisibility and inverse problems

Bulletin of the American Mathematical Society, v. 46, (1), 2009, p. 55-97
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

Limiting Carleman weights and anisotropic inverse problems

Inventiones mathematicae, v. 178, (1), 2009, p. 119-171
Ferreira, David Dos Santos; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther

Linearizing non-linear inverse problems and an application to inverse backscattering

Journal of functional analysis, v. 256, (9), 2009, p. 2842-2866
Stefanov, Plamen D.; Uhlmann, Gunther

Local lens rigidity with incomplete data for a class of non-simple riemannian manifolds

Journal of differential geometry, v. 82, (2), 2009, p. 383-409
Stefanov, Plamen D.; Uhlmann, Gunther

On the linearized local calderón problem

Mathematical research letters, v. 16, (6), 2009, p. 955-970
Ferreira, David Dos Santos; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther

Reconstruction of inclusions in an elastic body

Journal de mathématiques pures et appliquées, v. 91, (6), 2009, p. 569-582
Uhlmann, Gunther; Wang, Jenn-Nan; Wu, Chintien

Seismic imaging with the generalized Radon transform: A curvelet transform perspective

Inverse problems, v. 25, (2), 2009, article number 025005
De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther; Van Der Hilst, Robert D.

Thermoacoustic tomography with variable sound speed

Inverse problems, v. 25, (7), 2009, article number 075011
Stefanov, Plamen D.; Uhlmann, Gunther

Unique Continuation Property for the Elasticity with General Residual Stress

Inverse problems and imaging, v. 3, (2), May 2009, p. 309-317
Uhlmann, Gunther; Wang, Jenn-Nan
Conference paper 1

Visibility and invisibility

ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007, 2009, p. 381-408
Uhlmann, Gunther
Article 10

A multi-scale approach to hyperbolic evolution equations with limited smoothness

Communications in partial differential equations, v. 33, (6), 2008, p. 988-1017
Andersson, Fredrik N.G.; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther

An Inverse Source Problem in Optical Molecular Imaging

Analysis & PDE, v. 1, (1), 2008, p. 115-126
Stefanov, Plamen D.; Uhlmann, Gunther

Approximate Quantum Cloaking and Almost-Trapped States

Physical Review Letters, v. 101, (22), November 2008, Article number 220404
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther

Complex geometrical optics solutions for anisotropic equations and applications

Journal of inverse and III-posed problems, v. 16, (8), 2008, p. 791-804
Takuwa, H.; Uhlmann, Gunther; Wang, Jenn-Nan

Electromagnetic wormholes via handlebody constructions

Communications in Mathematical Physics, v. 281, (2), 2008, p. 369-385
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

Generalized backscattering and the Lax-Phillips transform

Serdica Mathematical Journal, v. 34, 2008, p. 1026-1044
Melrose, Richard B.; Uhlmann, Gunther

Integral geometry of tensor fields on a class of non-simple Riemannian manifolds

American journal of mathematics, v. 130, (1), 2008, p. 239-268
Stefanov, Plamen D.; Uhlmann, Gunther

Isotropie transformation optics: Approximate acoustic and quantum cloaking

New journal of physics, v. 10, 2008, article number 115024
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

Reconstructing discontinuities using complex geometrical optics solutions

SIAM journal on applied mathematics, v. 68, (4), 2008, p. 1026-1044
Uhlmann, Gunther; Wang, Jenn-Nan

The X-ray transform for a generic family of curves and weights

Journal of geometric analysis, v. 18, (1), 2008, p. 89-108
Frigyik, Béla András; Stefanov, Plamen D.; Uhlmann, Gunther
Book chapter 2

Boundary and lens rigidity, tensor tomography and analytic microlocal analysis

Algebraic Analysis of Differential Equations / Fetschrift in Honor of Takahiro Kawai, edited by T. Aoki, H. Majima, Y. Katei and N. Tose, 2008, p. 275-293
Stefanov, Plamen D.; Uhlmann, Gunther

Commentary on Calderón's paper (29), On an inverse boundary value problem

Selected Papers of Alberto P. Calderón with Commentary / Edited by Alexandra Bellow, Carlos E. Kenig and Paul Malliavin. American Mathematical Society, Rhode Island, United States, 2008, p. 623-636
Uhlmann, Gunther
Conference paper 1

A phase-space formulation for elastic-wave traveltime tomography

4th Applied Inverse Problems International Conference, AIP 2007 and the 1st Congress of the Inverse Problems International Association, IPIA 2007, Vancouver, BC, Canada, 25-29 June 2007, Journal of physics. Conference series, v. 124, (1), 2008, article number 012018
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
Article 13

A new phase space method for recovering index of refraction from travel times

Inverse problems, v. 23, (1), February 2007, p. 309-329
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai

Complex spherical waves for the elasticity system and probing of inclusions

SIAM journal on mathematical analysis, v. 38, (6), 2007, p. 1967-1980
Uhlmann, Gunther; Wang, Jenn-Nan

Determining a magnetic Schrödinger operator from partial cauchy data

Communications in Mathematical Physics, v. 271, (2), 2007, p. 467-488
Ferreira, David Dos Santos; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther

Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials

Physical Review Letters, v. 99, (18), November 2007, article number 183901
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther

Full-wave invisibility of active devices at all frequencies

Communications in Mathematical Physics, v. 275, (3), 2007, p. 749-789
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

Improvement of cylindrical cloaking with the SHS lining

Optics express, v. 15, (20), 2007, p. 12717-12734
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

Parametrices for symmetric systems with multiplicity

Wave motion, v. 44, (4), 2007, p. 231-247
Nolan, Clifford J.; Uhlmann, Gunther

Probing for electrical inclusions with complex spherical waves

Communications on pure and applied mathematics, v. 60, (10), 2007, p. 1415-1442
Ide, Takanori; Isozaki, Hiroshi; Nakata, Susumu; Siltanen, Samuli; Uhlmann, Gunther

Reconstruction of obstacles immersed in an incompressible fluid

Inverse problems and imaging, v. 1, (1), February 2007, p. 63-76
Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan

The boundary rigidity problem in the presence of a magnetic field

Advances in mathematics, v. 216, (2), 2007, p. 535-609
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen D.; Uhlmann, Gunther

The Calderón problem for partial cauchy data

Annals of Math., v. 22, 2007, p. 431-445
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther

The Calderón problem with partial data

Annals of mathematics, v. 165, (2), 2007, p. 567-591
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther

Unique continuation for hyperbolic equations with memory

Journal of inverse and III-posed problems, v. 15, (6), 2007, p. 587-598
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther
Conference paper 1

Inverse problems, invisibility, and artificial wormholes

Journal of Physics: Conference Series, v. 124, 2008, article number 012005
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article 1

Characterization and 'source-receiver' continuation of seismic reflection data

Communications in Mathematical Physics, v. 263, (1), 2006, p. 1-19
De Hoop, Maarten V.; Uhlmann, Gunther
Conference paper 4

Inverse problems and Applications

Special issue of Computational and Applied Mathematics, v. 25, (2-3), 2006, Petr ́opolis.
Menzala, G. Perla; Uhlmann, Gunther

Oscillating-Decaying Solutions for Elliptic Systems

Workshop on Inverse Problems, Multi-Scale Analysis and Homogenization, Seoul Natl Univ, Seoul, South Korea, JUN 22-24, 2005, Contemporary Mathematics, v. 408, 2006, p. 219-230
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan

Reconstruction of discontinuities in systems

Journal of Physics: Conference Series, v. 73, June 2007, article number 012024
Uhlmann, Gunther; Wang, Jenn-Nan

The scattering relation and the Dirichlet-to-Neumann map

10th International Conference on Differential Equations and Mathematical Physics, Univ Alabama, Birmingham, Birmingham, AL, MAR 29-APR 02, 2005, RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, Contemporary mathematics, v. 412, 2006, p. 249-262
Pestov, Leonid N.; Uhlmann, Gunther
Article 7

Boundary rigidity and stability for generic simple metrics

Journal of the American Mathematical Society, v. 18, (4), 2005, p. 975-1003
Stefanov, Plamen D.; Uhlmann, Gunther

Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems

Journal de mathématiques pures et appliquées, v. 84, (1), 2005, p. 21-54
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan

Recent Progress on the Boundary Rigidity Problem

Electronic Research Announcements of the American Mathematical Society, v. 11, 2005, p. 64-70
Stefanov, Plamen D.; Uhlmann, Gunther

Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources

Advances in applied mathematics, v. 34, (3), 2005, p. 591-615
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan

Regularity of ghosts in tensor tomography

Journal of geometric analysis, v. 15, (3), 2005, p. 499-542
Sharafutdinov, Vladimir A.; Skokan, Michal; Uhlmann, Gunther

Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map

International mathematics research notices, (17), 2005, p. 1047-1061
Stefanov, Plamen D.; Uhlmann, Gunther

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

Annals of mathematics, v. 161, (2), 2005, p. 1093-1110
Pestov, Leonid N.; Uhlmann, Gunther
Article 10

Hyperbolic geometry and local Dirichlet-Neumann map

Advances in mathematics, v. 188, (2), 2004, p. 294-314
Isozaki, Hiroshi; Uhlmann, Gunther

Inverse problems for the Pauli Hamiltonian in two dimensions

The journal of fourier analysis and applications, v. 10, (2), 2004, p. 201-215
Kang, Hyeonbae; Uhlmann, Gunther

Inverse Problems in N-body scattering

Contemporary Mathematics, v.348, 2004, p. 135-154
Uhlmann, Gunther; Vasy, András

Inverse scattering problem in nuclear physics - Optical model

Journal of mathematical physics, v. 45, (7), 2004, p. 2613-2632
Isozaki, Hiroshi; Nakazawa, Hideo; Uhlmann, Gunther

Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering

Proceedings of the American Mathematical Society, v. 132, (5), 2004, p. 1351-1354
Stefanov, Plamen D.; Uhlmann, Gunther

On characterization of the range and inversion formulas for the geodesic X-ray transform

International mathematics research notices, (80), 2004, p. 4331-4347
Pestov, Leonid N.; Uhlmann, Gunther

Reconstruction of the Potential from Partial Cauchy Data for the Schrödinger Equation

Indiana University mathematics journal, v. 53, (1), 2004, p. 169-183
Ammari, Habib; Uhlmann, Gunther

Stability estimates for the X-ray transform of tensor fields and boundary rigidity

Duke mathematical journal, v. 123, (3), 2004, p. 445-467
Stefanov, Plamen D.; Uhlmann, Gunther

The boundary distance function and the Dirichlet-to-Neumann map

Mathematical research letters, v. 11, (2-3), 2004, p. 285-297
Pestov, Leonid N.; Uhlmann, Gunther

Unique continuation property for elliptic systems and crack determination in anisotropic elasticity

Contemporary Mathematics, v. 362, 2004, p, 321-338
Wang, Jenn-Nan; Nakamura, Gen; Uhlmann, Gunther
Book 2

Geometric Methods in Inverse Problems and PDE Control


Croke, Christopher B.; Lasiecka, Irena; Uhlmann, Gunther; Vogelius, Michael S.

Partial Differential Equations and Inverse Problems


Conca, Carlos; Manásevich, Raúl; Uhlmann, Gunther; Vogelius, Michael S.
Book chapter 1

On the Local Dirichlet-to-Neumann Map

New Analytic and Geometric Methods in Inverse Problems / Edited by K. Bingham, Ya. V. Kurylev and E. Somersalo. Berlin: Springer, 2004, p. 261-279
Uhlmann, Gunther
Article 12

Anisotropic inverse problems in two dimensions

Inverse problems, v. 19, (5), 2003, p. 1001-1010
Sun, Ziqi; Uhlmann, Gunther

Boundary determination of a Riemannian metric by the localized boundary distance function

Advances in applied mathematics, v. 31, (2), 2003, p. 379-387
Uhlmann, Gunther; Wang, Jenn-Nan

Complex geometrical optics solutions for Lipschitz conductivities

Revista matemática iberoamericana, v. 19, (1), 2003, p. 57-72
Päivärinta, Lassi Juhani; Panchenko, Alexander; Uhlmann, Gunther

Geometrical optics for generic anisotropic materials

Contemporary Mathematics, v. 333, 2003, p. 177-185
Nolan, Clifford J.; Uhlmann, Gunther

Inverse problems in three-body scattering

Contemporary Mathematics, v. 333, 2003, p. 209-215
Uhlmann, Gunther; Vasy, András

On nonuniqueness for calderón's inverse problem

Mathematical research letters, v. 10, (5-6), 2003, p. 685-693
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther

Optical tomography in two dimensions

Methods and Applications of Analysis, v. 10, (1), 2003, p. 1-10
Stefanov, Plamen D.; Uhlmann, Gunther

Propagation of polarization in elastodynamics with residual stress and travel times

Mathematische Annalen, v. 326, (3), 2003, p. 563-587
Hansen, Sönke; Uhlmann, Gunther

Reconstruction of cracks in an inhomogeneous anisotropic elastic medium

Journal de mathématiques pures et appliquées, v. 82, (10), 2003, p. 1251-1276
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan

Semiglobal boundary rigidity for Riemannian metrics

Mathematische Annalen, v. 325, (4), 2003, p. 767-793
Lassas, Matti; Sharafutdinov, Vladimir A.; Uhlmann, Gunther

The Calderón Problem for Conormal Potentials I: Global Uniqueness and Reconstruction

Communications on pure and applied mathematics, v. 56, (3), 2003, p. 328-352
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther

The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary

Communications in analysis and geometry, v. 11, (2), 2003, p. 207-221
Lassas, Matti; Taylor, Michael E.; Uhlmann, Gunther
Book 2

Inside Out: Inverse Problems and Applications


Uhlmann, Gunther

Inverse Problems: Theory and Applications


Uhlmann, Gunther; Alessandrini, Giovanni
Book chapter 3

Inverse boundary problems in two dimensions

Function Spaces, Differential Operators and Nonlinear Analysis: The Hans Triebel Anniversary Volume / Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser. Birkhäuser Basel, Switzerland, 2003, p. 183-203
Uhlmann, Gunther

Microlocal analysis of the X-ray transform with sources on a curve

Inside Out, Inverse Problems and Applications / Gunther Uhlmann. The Press Syndicate of the University of Cambridge, The Pitt Building, Trumpington Street, Cambridge, United Kingdom, 2003, p. 193-218
Lan, Ih-Ren; Finch, David V.; Uhlmann, Gunther

The Cauchy data and the scattering relation

Geometric methods in inverse problems and PDE controI / v. 137, 2003, p. 263-288
Uhlmann, Gunther
Conference paper 2

Anisotropic conductivities that cannot be detected by EIT

1st Mummy Range Workshop on Electrical Impedence Tomography, Colorado State Univ, FT Collins, Colorado, AUG 01-07, 2002, Physiological measurement, v. 24, (2), May 2003, p. 413-419
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther

The inverse kinematic problem in anisotropic media

Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyväskylä, Finland, 30 June – 4 July 2003, Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, 2003, p. 39-45
Uhlmann, Gunther
Article 4

Fixed energy inverse problem for exponentially decreasing potentials

Methods and Applications of Analysis, v. 9, 2002, p. 239-247
Vasy, András; Uhlmann, Gunther

Low-energy inverse problems in three-body scattering

Inverse problems, v. 18, (3), 2002, p. 719-736
Uhlmann, Gunther; Vasy, András

Reconstruction of the memory from partial boundary measurements

Contemporary Mathematics, v. 307, 2002, p. 39-46
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther

Recovering a potential from partial Cauchy data

Communications in partial differential equations, v. 27, (3-4), 2002, p. 653-668
Bukhgeǐm, Alexander L.; Uhlmann, Gunther
Book chapter 2

Complex geometrical optics solutions and pseudoanalytic matrices

Journal of Ill-Posed and Inverse Problems / v. 10, 2002, 305–338.
Nakamura, Gen; Uhlmann, Gunther

Scattering by a metric

Encyclopedia on Scattering / Edited by R. Pike, P. Sabatier. Academic Press, 2002, p. 1668-1677, Chapter 6.1.5
Uhlmann, Gunther
Conference paper 1

Recovering acoustic and elastic parameters from travel times

ASME International Mechanical Engineering Congress and Exposition, Proceedings, 2002, p. 1-6
Uhlmann, Gunther; Hansen, Sönke
Article 7

A time-dependent approach to the inverse backscattering problem

Inverse problems, v. 17, (4), 2001, p. 703-716
Uhlmann, Gunther

Characteristic space-time estimates for the wave equation

Mathematische Zeitschrift, v. 236, (1), 2001, p. 113-131
Greenleaf, Allan; Uhlmann, Gunther

Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform

Duke mathematical journal, v. 108, (3), 2001, p. 599-617
Greenleaf, Allan; Uhlmann, Gunther

On determining a Riemannian manifold from the Dirichlet-to-Neumann map

Annales scientifiques de l'Ecole normale supérieure, v. 34, (5), 2001, p. 771-787
Lassas, Matti; Uhlmann, Gunther

Recent progress in the anisotropic electrical impedance problem

Electronic Journal of Differential Equations (EJDE), Proc. of conferences, v. 6, 2001, p. 303-311
Uhlmann, Gunther

The x-ray transform for a non-Abelian connection in two dimensions

Inverse problems, v. 17, (4), 2001, p. 695-701
Finch, David V.; Uhlmann, Gunther

Travel time tomography

Journal of the Korean Mathematical Society, v. 38, (4), 2001, p. 711-722
Uhlmann, Gunther
Book chapter 1

Inverse scattering in anisotropic media

Surveys on Solution Methods for Inverse Problems / Edited by David Colton, Heinz W. Engl, Alfred Louis, Joyce R. McLaughlin, William Rundell, New York: Springer Vienna, 2001, p. 235-251
Uhlmann, Gunther
Article 1

On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points

Journal of differential geometry, v. 56, (1), 2000, p. 93-110
Sharafutdinov, Vladimir A.; Uhlmann, Gunther
Article 2

Inverse elastic scattering at a fixed energy

Journal of Inverse and Ill Posed Problems, v. 7, (3), 1999, p. 283-288
Nakamura, Gen; Uhlmann, Gunther

Layer stripping for a transversely isotropic elastic medium

SIAM journal on applied mathematics, v. 59, (5), 1999, p. 1879-1891
Nakamura, Gen; Tanuma, Kazumi; Uhlmann, Gunther
Book chapter 1

Developments in inverse problems since Calderon’s foundational paper

Harmonic Analysis and Partial Differential Equations in honor of Alberto P. Calderon / Edited by M. Christ, C. Kenig, C. Sadosky, U.S.: University of Chicago Press, 1999, p. 295–345, Chapter 19
Uhlmann, Gunther
Article 4

Inverse Boundary Value Problems for Partial Differential Equations

Documenta Mathematica, Extra Volume ICM 98, v. III, 1998, 77–86
Uhlmann, Gunther

Rigidity for metrics with the same lengths of Geodesics

Mathematical research letters, v. 5, (1-2), 1998, p. 83-96
Stefanov, Plamen D.; Uhlmann, Gunther

Stability Estimates for the Hyperbolic Dirichlet to Neumann Map in Anisotropic Media

Journal of functional analysis, v. 154, (2), 1998, p. 330-358
Stefanov, Plamen D.; Uhlmann, Gunther

Uniqueness for a wave propagation inverse problem in a half-space

Inverse problems, v. 14, (3), 1998, p. 679-684
Lassas, Matti; Cheney, Margaret; Uhlmann, Gunther
Article 3

Inverse backscattering for the acoustic equation

SIAM journal on mathematical analysis, v. 28, (5), 1997, p. 1191-1204
Stefanov, Plamen D.; Uhlmann, Gunther

Inverse problems in quasilinear anisotropic media

American journal of mathematics, v. 119, (4), 1997, p. 771-797
Sun, Ziqi; Uhlmann, Gunther

Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions

Communications in partial differential equations, v. 22, (5-6), 1997, p. 1009-1027
Brown, Russell M.; Uhlmann, Gunther
Book chapter 1

A layer stripping algorithm in elastic impedance tomography

IMA Volume 90 “Inverse Problems in Wave Propagation” / Edited by G. Chavent, G. Papanicolau, P. Sacks and W. Symes, New York: Springer, 1997, p. 375-384
Nakamura, Gen; Uhlmann, Gunther
Article 1

Inverse problems in non-linear media

Journées équations aux dérivées partielles, Saint-Jean des Monts, v. XIV, 1996, p. 1–11
Sun, Ziqi; Uhlmann, Gunther
Book chapter 1

Inverse boundary value problems for elastic materials

Inverse Problems in Geophysical Applications (Proceedings in Applied Mathematics) /Edited by Heinz W. Engl, Alfred Karl Louis, William Rundell, Philadelphia, P.A.: SIAM, 1996, (197), p. 12–26
Uhlmann, Gunther
Article 2

Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field

Mathematische Annalen, v. 303, (1), December 1995, p. 377-388
Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther

Inverse Problems at the Boundary for an Elastic Medium

SIAM journal on mathematical analysis, v. 26, (2), p. 263-279
Nakamura, Gen; Uhlmann, Gunther
Conference paper 1

Elastic impedance tomography

Proceedings of the 1995 ASME Design Engineering Technical Conference, Part C, Boston, MA, USA,17–20 September 1995, v. 84, (3), 1995, p. 987–992
Nakamura, Gen; Uhlmann, Gunther
Article 1

Global uniqueness for an inverse boundary problem arising in elasticity

Inventiones mathematicae, v. 118, (1), 1994, p. 457-474
Nakamura, Gen; Uhlmann, Gunther
Conference paper 2

Inverse Boundary and Scattering Problems for an Elastic Medium

Proceedings of the Second International Symposium on Inverse Problems, Paris, France, 2-4 November 1994, Inverse Problems in Engineering Mechanics, 1994, p. 165-168
Nakamura, Gen; Uhlmann, Gunther

The modified Radon transform of Lax and Phillips in scattering theory

Proceedings of the Conference: “75 Years of the Radon transform”, ERWIN SCHRODINGER INT INST MATH PHYS, VIENNA, AUSTRIA, AUG 31-SEP 04, 1992, v. 4, 1994, p. 161–166
Greenleaf, Allan; Uhlmann, Gunther
Article 5

Identification of Lame parameters from boundary measurements

American journal of mathematics, v. 115, (5), October 1993, p. 1161-1187
Nakamura, Gen; Uhlmann, Gunther

Inverse boundary value problems for first order perturbations of the Laplacian

Lectures in Applied Mathematics, v. 30, 1993, p. 245–258
Uhlmann, Gunther

Inverse Scattering for Singular Potentials in Two Dimensions

Transactions of the American Mathematical Society, v. 338, (1), July 1993, p. 363-374
Sun, Ziqi; Uhlmann, Gunther

Recovering singularities of a potential from singularities of scattering data

Communications in Mathematical Physics, v. 157, (3), 1993, p. 549-572
Greenleaf, Allan; Uhlmann, Gunther

Recovery of singularities for formally determined inverse problems

Communications in Mathematical Physics, v. 153, (3), 1993, p. 431-445
Sun, Ziqi; Uhlmann, Gunther
Article 3

An inverse boundary value problem for Maxwell's equations

Archive for rational mechanics and analysis, v. 119, (1), 1992, p. 71-93
Sun, Ziqi; Uhlmann, Gunther

Inverse Boundary-Value-Problems and Applications

Astérisque, v. 207, 1992, p. 153-211
Uhlmann, Gunther

Microlocal analysis of the two-plane transform

Contemporary Mathematics, v. 140, 1992, p. 65–71
Greenleaf, Allan; Uhlmann, Gunther
Article 3

Composition of some singular Fourier integral operators and estimates for restricted x-ray transforms 2

Duke mathematical journal, v. 64, (3), December 1991, p. 415-444
Greenleaf, Allan; Uhlmann, Gunther

Generic uniqueness for an inverse boundary value problem

Duke Mathematical Journal, v. 62, (1), February 1991, p. 131-155
Sun, Ziqi; Uhlmann, Gunther

Inverse problems in anisotropic media

Contemporary Mathematics, v. 122, 1991, p. 105–117
Sylvester, John; Uhlmann, Gunther
Conference paper 2

Generic uniqueness for determined inverse problems in 2 dimensions

Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoto, Japan, 1991, p. 145–152
Sun, Ziqi; Uhlmann, Gunther

Uniqueness for Identifying Lamé Moduli by Dirichlet to Neumann Map

Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoyo, Japan, 1991, p. 133–138
Nakamura, Gen; Uhlmann, Gunther
Article 3

Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms

Annales de l'institut Fourier, v. 40, (2), 1990, p. 443-466
Greenleaf, Allan; Uhlmann, Gunther

Estimates for singular radon transforms and pseudodifferential operators with singular symbols

Journal of functional analysis, v. 89, (1), 1990, p. 202-232
Greenleaf, Allan; Uhlmann, Gunther

Microlocal techniques in integral geometry

Contemporary Mathematics, v. 113, 1990, p. 121–135
Greenleaf, Allan; Uhlmann, Gunther
Article 2

Determining anisotropic real-analytic conductivities by boundary measurements

Communications on Pure and Applied Mathematics, v. 42, (8), December 1989, p. 1097-1112
Lee, John M.; Uhlmann, Gunther

Non-local inversion formulas for the X-ray transform

Duke Mathematical Journal, v. 58, (1), February 1989, p. 205-240
Greenleaf, Allan; Uhlmann, Gunther
Conference paper 1

The Dirichlet to Neumann map and applications

SIAM proceedings series list, Inverse Problems in Partial Differential Equations, Humboldt State University, Arcata, California, July 29–August 4 1989
Sylvester, John; Uhlmann, Gunther
Article 3

An n-dimensional Borg-Levinson theorem

Communications in Mathematical Physics, v. 115, (4), 1988, p. 595-605
Nachman, Adrian I.; Sylvester, John; Uhlmann, Gunther

Inverse Boundary Value Problems

Lecture Notes in Mathematics, v. 1324, 1988, p. 320-328
Sylvester, John; Uhlmann, Gunther

Inverse Boundary-Value Problems at the Boundary - Continuous Dependence

Communications on pure and applied mathematics, v. 41, (2), March 1988, p. 197-219
Sylvester, John; Uhlmann, Gunther
Conference paper 1

Microlocal Analysis and Scattering theory

Partial Differential Operators: Proceedings of ELAM VIII, held in Rio de Janeiro, July 14-25, 1986 (Lecture Notes in Mathematics - 1324) / edited by by Fernando A. Cardoso, Djairo G. de Figueiredo, Rafael Iorio, Orlando Lopes. Berlin: Springer (1988) p. 320-328
Sylvester, John; Uhlmann, Gunther
Article 1

A global uniqueness theorem for an inverse boundary value problem

Annals of Mathematics, v. 125, (1), 1987, p. 153-169
Sylvester, John; Uhlmann, Gunther
Conference paper 1

Remarks on an inverse boundary value problem

Proceedings Oberwolfach Conference on topics in Pseudo differential Operator, 2–8 February 1986, Lecture Notes in Mathematics, 1987, p. 430-441
Sylvester, John; Uhlmann, Gunther
Article 1

A uniqueness theorem for an inverse boundary value problem in electrical prospection

Communications on Pure and Applied Mathematics, v. 39, (1), 1986, p. 91-112
Sylvester, John; Uhlmann, Gunther
Conference paper 2

Inverse Boundary Value Problems

Proceedings VIII ELAM, Rio de Janeiro, July 14–25 1986, Partial Differential Equations, Lecture Notes in Mathematics, v. 1324, 1988, p. 320–328
Sylvester, John; Uhlmann, Gunther

Product type conormal distributions in scattering theory

Dynamical Systems and Partial Differential Equations: Proceedings of the VII ELAM (Escuela Latinoamericana de Matematicas VII, Universidad Simon Bolivar, Caracas, 16-27 Junio 1984) / Edited by Lara-Carrero, Lorenzo & Jorge Lewowicz. Baldwin City, KS: Michener & Rutledge Booksellers, Inc.1986, p. 155-160
Uhlmann, Gunther
Article 1

Scattering by a potential

Lecture Notes in Spanish, Acta Cientifica Venezolana, v. 36, 1985, p. 1-18
Uhlmann, Gunther
Conference paper 2

A boundary canonical transformation for a class of operators with double characteristics

Proceedings of the First Chilean Symposium on Mathematics, Lecture Notes in Pure and Appl. Math., Universidad Técnica Federico Santa María, Analysis Geometry and Probability, , v. 93, 1985, p. 53–68
Uhlmann, Gunther

A functional calculus for a class of pseudodifferential operators with singular symbols

Proceedings of the Symposium on Pseudodifferential Operators and Fourier Integral Operators with Applications to Partial Differential Equations, Notre Dame, Indiana, April 2-5, 1984, Proceedings of Symposia in Pure Mathematics, v. 43, 1985, p. 5-16
Antoniano, José L.; Uhlmann, Gunther
Article 2

A sufficient condition for local solvability for a class of operators with double characteristics

American Journal of Mathematics, v. 106, (1), 1984, p. 187-217
Mendoza, Gerardo A.; Uhlmann, Gunther

Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients

Bulletin of the American Mathematical Society, v. 11, (1), 1984, p. 172-176
Callias, Constantine J.; Uhlmann, Gunther
Article 1

A necessary condition for local solvability for a class of operators with double characteristics

Journal of functional analysis, v. 52, (2), 1983, p. 252-256
Mendoza, Gerardo A.; Uhlmann, Gunther
Article 1

Light intensity distribution in conical refraction

Communications on Pure and Applied Mathematics, v.35, (1), 1982, p. 69-80
Uhlmann, Gunther
Article 1

Oscillatory integrals with singular symbols

Duke Mathematical Journal, v. 48, (1), 1981, p. 251-267
Guillemin, Victor; Uhlmann, Gunther
Article 3

Lagrangian intersection and the Cauchy problem

Communications on Pure and Applied Mathematics, v.32, (4), 1979, p. 483-519
Melrose, Richard B.; Uhlmann, Gunther

Microlocal structure of involutive conical refraction

Duke Mathematical Journal, v. 46, (3), 1979, p. 571-582
Melrose, Richard B.; Uhlmann, Gunther

Parametrices for operators with multiple involutive characteristics

Communications in Partial Differential Equations, v. 4, (7), 1979, p. 739-767
Uhlmann, Gunther
Article 1

Pseudo-differential operators with involutive double characteristics

Communications in Partial Differential Equations, v. 2, (7), 1977, p. 713-779
Uhlmann, Gunther
2017 3

An Inverse Problem from Condensed Matter Physics

Inverse Problems, v. 33, (11), October 2017, article number 115011
Lai, Ruyu; Shankar, Ravi; Spirn, Daniel; Uhlmann, Gunther A.
Article

Full and Partial Cloaking in Electromagnetic Scattering

Archive for Rational Mechanics and Analysis, v. 223, (1), January 2017, p. 265-299
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther A.
Article

Reducing Streaking Artifacts in Quantitative Susceptibility Mapping

SIAM Journal on Imaging Sciences, v. 10, (4), 2017, p. 1921-1934
Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran
Article
2016 5

Boundary rigidity with partial data

Journal of the American Mathematical Society, v. 29, (2), 2016, p. 299-332
Stefanov, Plamen D.; Uhlmann, Gunther A.; Vasy, Andras
Article

Local analytic regularity in the linearized calderón problem

Analysis & PDE, v. 9, (3), June 2016, p. 515-544
Sjöstrand, Johannes; Uhlmann, Gunther Alberto Arancibia
Article

The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives

Communications in Mathematical Physics, v. 348, (1), November 2016, p. 185-219
Krupchyk, Katya; Uhlmann, Gunther
Article

The inverse problem for the local geodesic ray transform

Inventiones Mathematicae, v. 205, (1), July 2016, p. 83-120
Uhlmann, Gunther Alberto Arancibia; Vasy, András
Article

The X-Ray Transform for Connections in Negative Curvature

Communications in Mathematical Physics, v. 343, (1), April 2016, p. 83-127
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia
Article
2015 9

An inverse kinematic problem with internal sources

Inverse Problems, v. 31, (5), May 2015, article number 055006
Pestov, Leonid N.; Uhlmann, Gunther; Zhou, Hanming
Article

Determining both sound speed and internal source in thermo-and photo-acoustic tomography

Inverse Problems, v. 31, (10), September 2015, article number 105005
Liu, Hongyu; Uhlmann, Gunther
Article

Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

Mathematische Annalen, v. 363, (1-2), October 2015, p. 305-362
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

On LpResolvent Estimates for Elliptic Operators on Compact Manifolds

Communications in Partial Differential Equations, v. 40, (3), March 2015, p. 438-474
Krupchyk, Katsiaryna; Uhlmann, Gunther
Article

On the range of the attenuated ray transform for unitary connections

International Mathematics Research Notices, v. 2015, (4), 2015, p. 873-897
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields

SIAM Journal on Applied Mathematics, v. 75, (5), 2015, p. 2214-2231
Bal, Guillaume P.; Monard, François; Uhlmann, Gunther
Article

Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak

Communications in Mathematical Physics, v. 335, (2), 2015, p. 671-712
Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther
Article

The geodesic ray transform on Riemannian surfaces with conjugate points

Communications in Mathematical Physics, v. 337, (3), August 2015, p. 1491-1513
Monard, François; Stefanov, Plamen D.; Uhlmann, Gunther
Article

The Neumann-to-Dirichlet map in two dimensions

Advances in Mathematics, v. 281, August 2015, p. 578-593
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article
2014 9

Inverse Boundary Value Problem for the Stokes and the Navier–Stokes Equations in the Plane

Archive for Rational Mechanics and Analysis, v. 215, (3), 2014, p. 811-829
Lai, Ruyu; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Inverse boundary value problems for the perturbed polyharmonic operator

Transactions of the American Mathematical Society, v. 366, (1), January 2014, p. 95-112
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Article

Inverse problems: seeing the unseen

Bulletin of Mathematical Sciences, v. 4, (2), January 2014, p. 209-279
Uhlmann, Gunther
Article

Photoacoustic and thermoacoustic tomography with an uncertain wave speed

Mathematical Research Letters, v. 21, (5), 2014, p. 1199-1214
Oksanen, Lauri; Uhlmann, Gunther
Article

Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD

Inverse Problems and Imaging, v. 8, (4), November 2014, p. 1-2
Hamilton, Sarah; Knudsen, Kim; Siltanen, Samuli; Uhlmann, Gunther
Article

Spectral rigidity and invariant distributions on anosov surfaces

Journal of Differential Geometry, v. 98, (1), 2014, p. 147-181
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

Tensor tomography: Progress and challenges

Chinese Annals of Mathematics. Series B, v. 35, (3), 2014, p. 399-428
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

Uniqueness for the inverse backscattering problem for angularly controlled potentials

Inverse Problems, v. 30, (6), 2014, article number 065005
Rakesh; Uhlmann, Gunther
Article

Uniqueness in an Inverse Boundary Problem for a Magnetic Schrödinger Operator with a Bounded Magnetic Potential

Communications in Mathematical Physics, v. 327, (3), 2014, p. 993-1009
Krupchyk, Katsiaryna; Uhlmann, Gunther
Article
2013 10

Increasing stability in an inverse problem for the acoustic equation

Inverse Problems, v. 29, (2), February 2013, article number 025012
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Instability of the linearized problem in multiwave tomography of recovery both the source and the speed

Inverse Problems and Imaging, v. 7, (4), November 2013, p. 1367-1377
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Inverse Boundary Problems for Systems in Two Dimensions

Annales Henri Poincare, v. 14, (6), September 2013, p. 1551-1571
Albin, Pierre; Guillarmou, Colin; Tzou, Leo; Uhlmann, Gunther
Article

Is a curved flight path in SAR better than a straight one?

SIAM Journal on Applied Mathematics, v. 73, (4), 2013, p. 1596-1612
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Multiscale discrete approximations of Fourier integral operators associated with canonical transformations and caustics

Multiscale Modeling and Simulation, v. 11, (2), 2013, p. 566-585
De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András; Wendt, Herwig
Article

Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions

Communications on Pure and Applied Mathematics, v. 66, (10), October 2013, p. 1629-1652
Bal, Guillaume P.; Uhlmann, Gunther
Article

Recovery of a source term or a speed with one measurement and applications

Transactions of the American Mathematical Society, v. 365, (11), 2013, p. 5737-5758
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Tensor tomography on surfaces

Inventiones Mathematicae, v. 193, (1), July 2013, p. 229-247
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

Inverse Problems and Applications: Inside Out II


Uhlmann, Gunther
Book

Multi-wave methods via ultrasound

Inverse Problems and Applications: Inside Out II / Edited by Gunther Uhlmann. Cambridge : Cambridge University Press, 2013, p. 271-323
Stefanov, Plamen D.; Uhlmann, Gunther
Book chapter
2012 9

Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics

Proceedings of the National Academy of Sciences of the United States of America, v. 109, (26), June 2012, p. 10169-10174
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Leónhardt, Ulf; Uhlmann, Gunther
Article

Determining a first order perturbation of the biharmonic operator by partial boundary measurements

Journal of Functional Analysis, v. 262, (4), 2012, p. 1781–1801
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Article

Inverse Problems With Partial Data for a Magnetic Schrödinger Operator in an Infinite Slab and on a Bounded Domain

Communications in Mathematical Physics, v. 312, (1), 2012, p. 87-126
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Article

On uniqueness of Lamé coefficients from partial Cauchy data in three dimensions

Inverse problems, v. 28, (12), November 2012, article number 125002
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article

Partial Cauchy data for general second order elliptic operators in two dimensions

Publications of the Research Institute for Mathematical Sciences, v. 48, (4), 2012, p. 971-1055
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article

Reconstructions for some coupled-physics inverse problems

Applied mathematics letters, v. 25, (7), 2012, p. 1030-1033
Bal, Guillaume P.; Uhlmann, Gunther
Article

Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness

Applied and computational harmonic analysis, v. 33, (3), 2012, p. 330-353
De Hoop, Maarten V.; Holman, Sean F.; Smith, Hart F.; Uhlmann, Gunther
Article

The attenuated ray transform for connections and Higgs fields

Geometric and functional analysis, v. 22, (5), 2012, p. 1460-1489
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Article

The geodesic x-ray transform with fold caustics

Analysis & PDE, v. 5, (2), 2012, p. 219-260
Stefanov, Plamen D.; Uhlmann, Gunther
Article
2011 22

An adaptive phase space method with application to reflection traveltime tomography

Inverse problems, v. 27, (11), 2011, article number 115002
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
Article

An efficient neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed

SIAM journal on imaging sciences, v. 4, (3), 2011, p. 850-883
Qian, Jianliang; Stefanov, Plamen D.; Uhlmann, Gunther; Zhao, Hongkai
Article

Approximate quantum and acoustic cloaking

Journal of Spectral Theory, v. 1, (1), 2011, p. 27-80
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain

Indiana University mathematics journal, v. 60, (6), 2011, p. 2093-2106
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Calderon's paper "On an inverse boundary value problem"

Revista matemática iberoamericana, 2011, p. 297+
Uhlmann, Gunther
Article

Cloaking a sensor for three-dimensional Maxwell's equations: Transformation optics approach

Optics express, v. 19, (21), 2011, p. 20518-20530
Chen, Xudong; Uhlmann, Gunther
Article

Cloaking a sensor via transformation optics

Physical Review E, v. 83, (1), January 2011, article number 016603
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Decoupling of modes for the elastic wave equation in media of limited smoothness

Communications in partial differential equations, v. 36, (10), 2011, p. 1683-1693
Brytik, Valeriy; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther
Article

Determination of second-order elliptic operators in two dimensions from partial Cauchy data

Proceedings of the National Academy of Sciences of the United States of America, v. 108, (2), January 2011, p. 467-472
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article

Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets

Inverse problems, v. 27, (8), 2011, article number 085007
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article

Inverse problems for differential forms on riemannian manifolds with boundary

Communications in partial differential equations, v. 36, (8), 2011, p. 1475-1509
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Article

Inverse problems for the anisotropic maxwell equations

Duke mathematical journal, v. 157, (2), 2011, p. 369-419
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
Article

Polarization-invariant directional cloaking by transformation optics

Progress In Electromagnetics Research, v. 118, 2011, p. 415-423
Agarwal, Krishna; Chen, Xudong; Hu, Li; Liu, Hongyu; Uhlmann, Gunther
Article

Quantitative strong unique continuation for the Lamé system with less regular coefficients

Methods and Applications of Analysis, v. 18, (1), 2011, p. 85-92
Uhlmann, Gunther; Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan
Article

Quantitative thermo-acoustics and related problems

Inverse problems, v. 27, (5), 2011, article number 055007
Bal, Guillaume P.; Ren, Kui; Uhlmann, Gunther; Zhou, Ting
Article

Reconstruction of penetrable obstacles in acoustic scattering

SIAM journal on mathematical analysis, v. 43, (1), 2011, p. 189-211
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Reconstructions from boundary measurements on admissible manifolds

Inverse problems and imaging, v. 5, (4), 2011, p. 859-877
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
Article

The attenuated ray transform on simple surfaces

Journal of differential geometry, v. 88, (1), 2011, p. 161-187
Salo, Mikko; Uhlmann, Gunther
Article

Thermoacoustic tomography arising in brain imaging

Inverse problems, v. 27, (4), 2011, article number 045004
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Universal multi-scale computations of Fourier integral operators for coherent imaging in caustics

SEG technical program expanded abstracts, v. 30, (1), 2011, p. 2936-2940
Wendt, Herwig; De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András
Article

Tomography and Inverse Transport Theory


Bal, Guillaume P.; Kuchment, Peter; Stefanov, Plamen D.; Schotland, John; Uhlmann, Gunther
Book

Wave Phenomena

Handbook of Mathematical Methods in Imaging / Otmar Schetzer editor. New York: Springer-Verlag, 2011, p. 867-909
Lassas, Matti; Salo, Mikko; Uhlmann, Gunther
Book chapter
2010 8

Inverse diffusion theory of photoacoustics

Inverse problems, v. 26, (8), August 2010, article Number: 085010
Bal, Guillaume P.; Uhlmann, Gunther
Article

Inverse problems with partial data in a slab

Inverse problems and imaging, v. 4, (3), 2010, p. 449-462
Li, Xiaosheng; Uhlmann, Gunther
Article

Inverse scattering for the magnetic Schrödinger operator

Journal of functional analysis, v. 259, (7), 2010, p. 1771-1798
Päivärinta, Lassi Juhani; Salo, Mikko; Uhlmann, Gunther
Article

Methods and Applications of Analysis: Preface

Methods and Applications of Analysis, v. 17, no. 4 (Dec 2010) p. i-ii
Uhlmann, G.; Chung, Tsz Shun; Yamamoto, Masahiro; Zou, Jun
Article

Optimal three-ball inequalities and quantitative uniqueness for the Stokes system

Discrete and Continuous Dynamical Systems, v. 28, (3), November 2010, p. 1273-1290
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Reconstructing the metric and magnetic field from the scattering relation

Inverse problems and imaging, v. 4, (3), 2010, p. 397-409
Dairbekov, Nurlan S.; Uhlmann, Gunther
Article

Rigidity of broken geodesic flow and inverse problems

American journal of mathematics, v. 132, (2), 2010, p. 529-562
Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

The calderón problem with partial data in two dimensions

Journal of the American Mathematical Society, v. 23, (3), 2010, p. 655-691
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Article
2009 13

A depth-dependent stability estimate in electrical impedance tomography

Inverse problems, v. 25, (7), 2009, article number 075001
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Cloaking devices, electromagnetic wormholes, and transformation optics

SIAM review, v. 51, (1), 2009, p. 3-33
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Electrical impedance tomography and Calderón's problem

Inverse problems, v. 25, (12), 2009, article number 123011
Uhlmann, Gunther
Article

Invisibility and inverse problems

Bulletin of the American Mathematical Society, v. 46, (1), 2009, p. 55-97
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Limiting Carleman weights and anisotropic inverse problems

Inventiones mathematicae, v. 178, (1), 2009, p. 119-171
Ferreira, David Dos Santos; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
Article

Linearizing non-linear inverse problems and an application to inverse backscattering

Journal of functional analysis, v. 256, (9), 2009, p. 2842-2866
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Local lens rigidity with incomplete data for a class of non-simple riemannian manifolds

Journal of differential geometry, v. 82, (2), 2009, p. 383-409
Stefanov, Plamen D.; Uhlmann, Gunther
Article

On the linearized local calderón problem

Mathematical research letters, v. 16, (6), 2009, p. 955-970
Ferreira, David Dos Santos; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
Article

Reconstruction of inclusions in an elastic body

Journal de mathématiques pures et appliquées, v. 91, (6), 2009, p. 569-582
Uhlmann, Gunther; Wang, Jenn-Nan; Wu, Chintien
Article

Seismic imaging with the generalized Radon transform: A curvelet transform perspective

Inverse problems, v. 25, (2), 2009, article number 025005
De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther; Van Der Hilst, Robert D.
Article

Thermoacoustic tomography with variable sound speed

Inverse problems, v. 25, (7), 2009, article number 075011
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Unique Continuation Property for the Elasticity with General Residual Stress

Inverse problems and imaging, v. 3, (2), May 2009, p. 309-317
Uhlmann, Gunther; Wang, Jenn-Nan
Article

Visibility and invisibility

ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007, 2009, p. 381-408
Uhlmann, Gunther
Conference paper
2008 13

A multi-scale approach to hyperbolic evolution equations with limited smoothness

Communications in partial differential equations, v. 33, (6), 2008, p. 988-1017
Andersson, Fredrik N.G.; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther
Article

An Inverse Source Problem in Optical Molecular Imaging

Analysis & PDE, v. 1, (1), 2008, p. 115-126
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Approximate Quantum Cloaking and Almost-Trapped States

Physical Review Letters, v. 101, (22), November 2008, Article number 220404
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Article

Complex geometrical optics solutions for anisotropic equations and applications

Journal of inverse and III-posed problems, v. 16, (8), 2008, p. 791-804
Takuwa, H.; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Electromagnetic wormholes via handlebody constructions

Communications in Mathematical Physics, v. 281, (2), 2008, p. 369-385
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Generalized backscattering and the Lax-Phillips transform

Serdica Mathematical Journal, v. 34, 2008, p. 1026-1044
Melrose, Richard B.; Uhlmann, Gunther
Article

Integral geometry of tensor fields on a class of non-simple Riemannian manifolds

American journal of mathematics, v. 130, (1), 2008, p. 239-268
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Isotropie transformation optics: Approximate acoustic and quantum cloaking

New journal of physics, v. 10, 2008, article number 115024
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Reconstructing discontinuities using complex geometrical optics solutions

SIAM journal on applied mathematics, v. 68, (4), 2008, p. 1026-1044
Uhlmann, Gunther; Wang, Jenn-Nan
Article

The X-ray transform for a generic family of curves and weights

Journal of geometric analysis, v. 18, (1), 2008, p. 89-108
Frigyik, Béla András; Stefanov, Plamen D.; Uhlmann, Gunther
Article

Boundary and lens rigidity, tensor tomography and analytic microlocal analysis

Algebraic Analysis of Differential Equations / Fetschrift in Honor of Takahiro Kawai, edited by T. Aoki, H. Majima, Y. Katei and N. Tose, 2008, p. 275-293
Stefanov, Plamen D.; Uhlmann, Gunther
Book chapter

Commentary on Calderón's paper (29), On an inverse boundary value problem

Selected Papers of Alberto P. Calderón with Commentary / Edited by Alexandra Bellow, Carlos E. Kenig and Paul Malliavin. American Mathematical Society, Rhode Island, United States, 2008, p. 623-636
Uhlmann, Gunther
Book chapter

A phase-space formulation for elastic-wave traveltime tomography

4th Applied Inverse Problems International Conference, AIP 2007 and the 1st Congress of the Inverse Problems International Association, IPIA 2007, Vancouver, BC, Canada, 25-29 June 2007, Journal of physics. Conference series, v. 124, (1), 2008, article number 012018
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
Conference paper
2007 14

A new phase space method for recovering index of refraction from travel times

Inverse problems, v. 23, (1), February 2007, p. 309-329
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
Article

Complex spherical waves for the elasticity system and probing of inclusions

SIAM journal on mathematical analysis, v. 38, (6), 2007, p. 1967-1980
Uhlmann, Gunther; Wang, Jenn-Nan
Article

Determining a magnetic Schrödinger operator from partial cauchy data

Communications in Mathematical Physics, v. 271, (2), 2007, p. 467-488
Ferreira, David Dos Santos; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
Article

Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials

Physical Review Letters, v. 99, (18), November 2007, article number 183901
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Article

Full-wave invisibility of active devices at all frequencies

Communications in Mathematical Physics, v. 275, (3), 2007, p. 749-789
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Improvement of cylindrical cloaking with the SHS lining

Optics express, v. 15, (20), 2007, p. 12717-12734
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Article

Parametrices for symmetric systems with multiplicity

Wave motion, v. 44, (4), 2007, p. 231-247
Nolan, Clifford J.; Uhlmann, Gunther
Article

Probing for electrical inclusions with complex spherical waves

Communications on pure and applied mathematics, v. 60, (10), 2007, p. 1415-1442
Ide, Takanori; Isozaki, Hiroshi; Nakata, Susumu; Siltanen, Samuli; Uhlmann, Gunther
Article

Reconstruction of obstacles immersed in an incompressible fluid

Inverse problems and imaging, v. 1, (1), February 2007, p. 63-76
Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan
Article

The boundary rigidity problem in the presence of a magnetic field

Advances in mathematics, v. 216, (2), 2007, p. 535-609
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen D.; Uhlmann, Gunther
Article

The Calderón problem for partial cauchy data

Annals of Math., v. 22, 2007, p. 431-445
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
Article

The Calderón problem with partial data

Annals of mathematics, v. 165, (2), 2007, p. 567-591
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
Article

Unique continuation for hyperbolic equations with memory

Journal of inverse and III-posed problems, v. 15, (6), 2007, p. 587-598
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther
Article

Inverse problems, invisibility, and artificial wormholes

Journal of Physics: Conference Series, v. 124, 2008, article number 012005
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Conference paper
2006 5

Characterization and 'source-receiver' continuation of seismic reflection data

Communications in Mathematical Physics, v. 263, (1), 2006, p. 1-19
De Hoop, Maarten V.; Uhlmann, Gunther
Article

Inverse problems and Applications

Special issue of Computational and Applied Mathematics, v. 25, (2-3), 2006, Petr ́opolis.
Menzala, G. Perla; Uhlmann, Gunther
Conference paper

Oscillating-Decaying Solutions for Elliptic Systems

Workshop on Inverse Problems, Multi-Scale Analysis and Homogenization, Seoul Natl Univ, Seoul, South Korea, JUN 22-24, 2005, Contemporary Mathematics, v. 408, 2006, p. 219-230
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Conference paper

Reconstruction of discontinuities in systems

Journal of Physics: Conference Series, v. 73, June 2007, article number 012024
Uhlmann, Gunther; Wang, Jenn-Nan
Conference paper

The scattering relation and the Dirichlet-to-Neumann map

10th International Conference on Differential Equations and Mathematical Physics, Univ Alabama, Birmingham, Birmingham, AL, MAR 29-APR 02, 2005, RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, Contemporary mathematics, v. 412, 2006, p. 249-262
Pestov, Leonid N.; Uhlmann, Gunther
Conference paper
2005 7

Boundary rigidity and stability for generic simple metrics

Journal of the American Mathematical Society, v. 18, (4), 2005, p. 975-1003
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems

Journal de mathématiques pures et appliquées, v. 84, (1), 2005, p. 21-54
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Recent Progress on the Boundary Rigidity Problem

Electronic Research Announcements of the American Mathematical Society, v. 11, 2005, p. 64-70
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources

Advances in applied mathematics, v. 34, (3), 2005, p. 591-615
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Regularity of ghosts in tensor tomography

Journal of geometric analysis, v. 15, (3), 2005, p. 499-542
Sharafutdinov, Vladimir A.; Skokan, Michal; Uhlmann, Gunther
Article

Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map

International mathematics research notices, (17), 2005, p. 1047-1061
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

Annals of mathematics, v. 161, (2), 2005, p. 1093-1110
Pestov, Leonid N.; Uhlmann, Gunther
Article
2004 13

Hyperbolic geometry and local Dirichlet-Neumann map

Advances in mathematics, v. 188, (2), 2004, p. 294-314
Isozaki, Hiroshi; Uhlmann, Gunther
Article

Inverse problems for the Pauli Hamiltonian in two dimensions

The journal of fourier analysis and applications, v. 10, (2), 2004, p. 201-215
Kang, Hyeonbae; Uhlmann, Gunther
Article

Inverse Problems in N-body scattering

Contemporary Mathematics, v.348, 2004, p. 135-154
Uhlmann, Gunther; Vasy, András
Article

Inverse scattering problem in nuclear physics - Optical model

Journal of mathematical physics, v. 45, (7), 2004, p. 2613-2632
Isozaki, Hiroshi; Nakazawa, Hideo; Uhlmann, Gunther
Article

Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering

Proceedings of the American Mathematical Society, v. 132, (5), 2004, p. 1351-1354
Stefanov, Plamen D.; Uhlmann, Gunther
Article

On characterization of the range and inversion formulas for the geodesic X-ray transform

International mathematics research notices, (80), 2004, p. 4331-4347
Pestov, Leonid N.; Uhlmann, Gunther
Article

Reconstruction of the Potential from Partial Cauchy Data for the Schrödinger Equation

Indiana University mathematics journal, v. 53, (1), 2004, p. 169-183
Ammari, Habib; Uhlmann, Gunther
Article

Stability estimates for the X-ray transform of tensor fields and boundary rigidity

Duke mathematical journal, v. 123, (3), 2004, p. 445-467
Stefanov, Plamen D.; Uhlmann, Gunther
Article

The boundary distance function and the Dirichlet-to-Neumann map

Mathematical research letters, v. 11, (2-3), 2004, p. 285-297
Pestov, Leonid N.; Uhlmann, Gunther
Article

Unique continuation property for elliptic systems and crack determination in anisotropic elasticity

Contemporary Mathematics, v. 362, 2004, p, 321-338
Wang, Jenn-Nan; Nakamura, Gen; Uhlmann, Gunther
Article

Geometric Methods in Inverse Problems and PDE Control


Croke, Christopher B.; Lasiecka, Irena; Uhlmann, Gunther; Vogelius, Michael S.
Book

Partial Differential Equations and Inverse Problems


Conca, Carlos; Manásevich, Raúl; Uhlmann, Gunther; Vogelius, Michael S.
Book

On the Local Dirichlet-to-Neumann Map

New Analytic and Geometric Methods in Inverse Problems / Edited by K. Bingham, Ya. V. Kurylev and E. Somersalo. Berlin: Springer, 2004, p. 261-279
Uhlmann, Gunther
Book chapter
2003 19

Anisotropic inverse problems in two dimensions

Inverse problems, v. 19, (5), 2003, p. 1001-1010
Sun, Ziqi; Uhlmann, Gunther
Article

Boundary determination of a Riemannian metric by the localized boundary distance function

Advances in applied mathematics, v. 31, (2), 2003, p. 379-387
Uhlmann, Gunther; Wang, Jenn-Nan
Article

Complex geometrical optics solutions for Lipschitz conductivities

Revista matemática iberoamericana, v. 19, (1), 2003, p. 57-72
Päivärinta, Lassi Juhani; Panchenko, Alexander; Uhlmann, Gunther
Article

Geometrical optics for generic anisotropic materials

Contemporary Mathematics, v. 333, 2003, p. 177-185
Nolan, Clifford J.; Uhlmann, Gunther
Article

Inverse problems in three-body scattering

Contemporary Mathematics, v. 333, 2003, p. 209-215
Uhlmann, Gunther; Vasy, András
Article

On nonuniqueness for calderón's inverse problem

Mathematical research letters, v. 10, (5-6), 2003, p. 685-693
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
Article

Optical tomography in two dimensions

Methods and Applications of Analysis, v. 10, (1), 2003, p. 1-10
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Propagation of polarization in elastodynamics with residual stress and travel times

Mathematische Annalen, v. 326, (3), 2003, p. 563-587
Hansen, Sönke; Uhlmann, Gunther
Article

Reconstruction of cracks in an inhomogeneous anisotropic elastic medium

Journal de mathématiques pures et appliquées, v. 82, (10), 2003, p. 1251-1276
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Article

Semiglobal boundary rigidity for Riemannian metrics

Mathematische Annalen, v. 325, (4), 2003, p. 767-793
Lassas, Matti; Sharafutdinov, Vladimir A.; Uhlmann, Gunther
Article

The Calderón Problem for Conormal Potentials I: Global Uniqueness and Reconstruction

Communications on pure and applied mathematics, v. 56, (3), 2003, p. 328-352
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
Article

The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary

Communications in analysis and geometry, v. 11, (2), 2003, p. 207-221
Lassas, Matti; Taylor, Michael E.; Uhlmann, Gunther
Article

Inside Out: Inverse Problems and Applications


Uhlmann, Gunther
Book

Inverse Problems: Theory and Applications


Uhlmann, Gunther; Alessandrini, Giovanni
Book

Inverse boundary problems in two dimensions

Function Spaces, Differential Operators and Nonlinear Analysis: The Hans Triebel Anniversary Volume / Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser. Birkhäuser Basel, Switzerland, 2003, p. 183-203
Uhlmann, Gunther
Book chapter

Microlocal analysis of the X-ray transform with sources on a curve

Inside Out, Inverse Problems and Applications / Gunther Uhlmann. The Press Syndicate of the University of Cambridge, The Pitt Building, Trumpington Street, Cambridge, United Kingdom, 2003, p. 193-218
Lan, Ih-Ren; Finch, David V.; Uhlmann, Gunther
Book chapter

The Cauchy data and the scattering relation

Geometric methods in inverse problems and PDE controI / v. 137, 2003, p. 263-288
Uhlmann, Gunther
Book chapter

Anisotropic conductivities that cannot be detected by EIT

1st Mummy Range Workshop on Electrical Impedence Tomography, Colorado State Univ, FT Collins, Colorado, AUG 01-07, 2002, Physiological measurement, v. 24, (2), May 2003, p. 413-419
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
Conference paper

The inverse kinematic problem in anisotropic media

Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyväskylä, Finland, 30 June – 4 July 2003, Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, 2003, p. 39-45
Uhlmann, Gunther
Conference paper
2002 7

Fixed energy inverse problem for exponentially decreasing potentials

Methods and Applications of Analysis, v. 9, 2002, p. 239-247
Vasy, András; Uhlmann, Gunther
Article

Low-energy inverse problems in three-body scattering

Inverse problems, v. 18, (3), 2002, p. 719-736
Uhlmann, Gunther; Vasy, András
Article

Reconstruction of the memory from partial boundary measurements

Contemporary Mathematics, v. 307, 2002, p. 39-46
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther
Article

Recovering a potential from partial Cauchy data

Communications in partial differential equations, v. 27, (3-4), 2002, p. 653-668
Bukhgeǐm, Alexander L.; Uhlmann, Gunther
Article

Complex geometrical optics solutions and pseudoanalytic matrices

Journal of Ill-Posed and Inverse Problems / v. 10, 2002, 305–338.
Nakamura, Gen; Uhlmann, Gunther
Book chapter

Scattering by a metric

Encyclopedia on Scattering / Edited by R. Pike, P. Sabatier. Academic Press, 2002, p. 1668-1677, Chapter 6.1.5
Uhlmann, Gunther
Book chapter

Recovering acoustic and elastic parameters from travel times

ASME International Mechanical Engineering Congress and Exposition, Proceedings, 2002, p. 1-6
Uhlmann, Gunther; Hansen, Sönke
Conference paper
2001 8

A time-dependent approach to the inverse backscattering problem

Inverse problems, v. 17, (4), 2001, p. 703-716
Uhlmann, Gunther
Article

Characteristic space-time estimates for the wave equation

Mathematische Zeitschrift, v. 236, (1), 2001, p. 113-131
Greenleaf, Allan; Uhlmann, Gunther
Article

Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform

Duke mathematical journal, v. 108, (3), 2001, p. 599-617
Greenleaf, Allan; Uhlmann, Gunther
Article

On determining a Riemannian manifold from the Dirichlet-to-Neumann map

Annales scientifiques de l'Ecole normale supérieure, v. 34, (5), 2001, p. 771-787
Lassas, Matti; Uhlmann, Gunther
Article

Recent progress in the anisotropic electrical impedance problem

Electronic Journal of Differential Equations (EJDE), Proc. of conferences, v. 6, 2001, p. 303-311
Uhlmann, Gunther
Article

The x-ray transform for a non-Abelian connection in two dimensions

Inverse problems, v. 17, (4), 2001, p. 695-701
Finch, David V.; Uhlmann, Gunther
Article

Travel time tomography

Journal of the Korean Mathematical Society, v. 38, (4), 2001, p. 711-722
Uhlmann, Gunther
Article

Inverse scattering in anisotropic media

Surveys on Solution Methods for Inverse Problems / Edited by David Colton, Heinz W. Engl, Alfred Louis, Joyce R. McLaughlin, William Rundell, New York: Springer Vienna, 2001, p. 235-251
Uhlmann, Gunther
Book chapter
2000 1

On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points

Journal of differential geometry, v. 56, (1), 2000, p. 93-110
Sharafutdinov, Vladimir A.; Uhlmann, Gunther
Article
1999 3

Inverse elastic scattering at a fixed energy

Journal of Inverse and Ill Posed Problems, v. 7, (3), 1999, p. 283-288
Nakamura, Gen; Uhlmann, Gunther
Article

Layer stripping for a transversely isotropic elastic medium

SIAM journal on applied mathematics, v. 59, (5), 1999, p. 1879-1891
Nakamura, Gen; Tanuma, Kazumi; Uhlmann, Gunther
Article

Developments in inverse problems since Calderon’s foundational paper

Harmonic Analysis and Partial Differential Equations in honor of Alberto P. Calderon / Edited by M. Christ, C. Kenig, C. Sadosky, U.S.: University of Chicago Press, 1999, p. 295–345, Chapter 19
Uhlmann, Gunther
Book chapter
1998 4

Inverse Boundary Value Problems for Partial Differential Equations

Documenta Mathematica, Extra Volume ICM 98, v. III, 1998, 77–86
Uhlmann, Gunther
Article

Rigidity for metrics with the same lengths of Geodesics

Mathematical research letters, v. 5, (1-2), 1998, p. 83-96
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Stability Estimates for the Hyperbolic Dirichlet to Neumann Map in Anisotropic Media

Journal of functional analysis, v. 154, (2), 1998, p. 330-358
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Uniqueness for a wave propagation inverse problem in a half-space

Inverse problems, v. 14, (3), 1998, p. 679-684
Lassas, Matti; Cheney, Margaret; Uhlmann, Gunther
Article
1997 4

Inverse backscattering for the acoustic equation

SIAM journal on mathematical analysis, v. 28, (5), 1997, p. 1191-1204
Stefanov, Plamen D.; Uhlmann, Gunther
Article

Inverse problems in quasilinear anisotropic media

American journal of mathematics, v. 119, (4), 1997, p. 771-797
Sun, Ziqi; Uhlmann, Gunther
Article

Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions

Communications in partial differential equations, v. 22, (5-6), 1997, p. 1009-1027
Brown, Russell M.; Uhlmann, Gunther
Article

A layer stripping algorithm in elastic impedance tomography

IMA Volume 90 “Inverse Problems in Wave Propagation” / Edited by G. Chavent, G. Papanicolau, P. Sacks and W. Symes, New York: Springer, 1997, p. 375-384
Nakamura, Gen; Uhlmann, Gunther
Book chapter
1996 2

Inverse problems in non-linear media

Journées équations aux dérivées partielles, Saint-Jean des Monts, v. XIV, 1996, p. 1–11
Sun, Ziqi; Uhlmann, Gunther
Article

Inverse boundary value problems for elastic materials

Inverse Problems in Geophysical Applications (Proceedings in Applied Mathematics) /Edited by Heinz W. Engl, Alfred Karl Louis, William Rundell, Philadelphia, P.A.: SIAM, 1996, (197), p. 12–26
Uhlmann, Gunther
Book chapter
1995 3

Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field

Mathematische Annalen, v. 303, (1), December 1995, p. 377-388
Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther
Article

Inverse Problems at the Boundary for an Elastic Medium

SIAM journal on mathematical analysis, v. 26, (2), p. 263-279
Nakamura, Gen; Uhlmann, Gunther
Article

Elastic impedance tomography

Proceedings of the 1995 ASME Design Engineering Technical Conference, Part C, Boston, MA, USA,17–20 September 1995, v. 84, (3), 1995, p. 987–992
Nakamura, Gen; Uhlmann, Gunther
Conference paper
1994 3

Global uniqueness for an inverse boundary problem arising in elasticity

Inventiones mathematicae, v. 118, (1), 1994, p. 457-474
Nakamura, Gen; Uhlmann, Gunther
Article

Inverse Boundary and Scattering Problems for an Elastic Medium

Proceedings of the Second International Symposium on Inverse Problems, Paris, France, 2-4 November 1994, Inverse Problems in Engineering Mechanics, 1994, p. 165-168
Nakamura, Gen; Uhlmann, Gunther
Conference paper

The modified Radon transform of Lax and Phillips in scattering theory

Proceedings of the Conference: “75 Years of the Radon transform”, ERWIN SCHRODINGER INT INST MATH PHYS, VIENNA, AUSTRIA, AUG 31-SEP 04, 1992, v. 4, 1994, p. 161–166
Greenleaf, Allan; Uhlmann, Gunther
Conference paper
1993 5

Identification of Lame parameters from boundary measurements

American journal of mathematics, v. 115, (5), October 1993, p. 1161-1187
Nakamura, Gen; Uhlmann, Gunther
Article

Inverse boundary value problems for first order perturbations of the Laplacian

Lectures in Applied Mathematics, v. 30, 1993, p. 245–258
Uhlmann, Gunther
Article

Inverse Scattering for Singular Potentials in Two Dimensions

Transactions of the American Mathematical Society, v. 338, (1), July 1993, p. 363-374
Sun, Ziqi; Uhlmann, Gunther
Article

Recovering singularities of a potential from singularities of scattering data

Communications in Mathematical Physics, v. 157, (3), 1993, p. 549-572
Greenleaf, Allan; Uhlmann, Gunther
Article

Recovery of singularities for formally determined inverse problems

Communications in Mathematical Physics, v. 153, (3), 1993, p. 431-445
Sun, Ziqi; Uhlmann, Gunther
Article
1992 3

An inverse boundary value problem for Maxwell's equations

Archive for rational mechanics and analysis, v. 119, (1), 1992, p. 71-93
Sun, Ziqi; Uhlmann, Gunther
Article

Inverse Boundary-Value-Problems and Applications

Astérisque, v. 207, 1992, p. 153-211
Uhlmann, Gunther
Article

Microlocal analysis of the two-plane transform

Contemporary Mathematics, v. 140, 1992, p. 65–71
Greenleaf, Allan; Uhlmann, Gunther
Article
1991 5

Composition of some singular Fourier integral operators and estimates for restricted x-ray transforms 2

Duke mathematical journal, v. 64, (3), December 1991, p. 415-444
Greenleaf, Allan; Uhlmann, Gunther
Article

Generic uniqueness for an inverse boundary value problem

Duke Mathematical Journal, v. 62, (1), February 1991, p. 131-155
Sun, Ziqi; Uhlmann, Gunther
Article

Inverse problems in anisotropic media

Contemporary Mathematics, v. 122, 1991, p. 105–117
Sylvester, John; Uhlmann, Gunther
Article

Generic uniqueness for determined inverse problems in 2 dimensions

Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoto, Japan, 1991, p. 145–152
Sun, Ziqi; Uhlmann, Gunther
Conference paper

Uniqueness for Identifying Lamé Moduli by Dirichlet to Neumann Map

Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoyo, Japan, 1991, p. 133–138
Nakamura, Gen; Uhlmann, Gunther
Conference paper
1990 3

Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms

Annales de l'institut Fourier, v. 40, (2), 1990, p. 443-466
Greenleaf, Allan; Uhlmann, Gunther
Article

Estimates for singular radon transforms and pseudodifferential operators with singular symbols

Journal of functional analysis, v. 89, (1), 1990, p. 202-232
Greenleaf, Allan; Uhlmann, Gunther
Article

Microlocal techniques in integral geometry

Contemporary Mathematics, v. 113, 1990, p. 121–135
Greenleaf, Allan; Uhlmann, Gunther
Article
1989 3

Determining anisotropic real-analytic conductivities by boundary measurements

Communications on Pure and Applied Mathematics, v. 42, (8), December 1989, p. 1097-1112
Lee, John M.; Uhlmann, Gunther
Article

Non-local inversion formulas for the X-ray transform

Duke Mathematical Journal, v. 58, (1), February 1989, p. 205-240
Greenleaf, Allan; Uhlmann, Gunther
Article

The Dirichlet to Neumann map and applications

SIAM proceedings series list, Inverse Problems in Partial Differential Equations, Humboldt State University, Arcata, California, July 29–August 4 1989
Sylvester, John; Uhlmann, Gunther
Conference paper
1988 4

An n-dimensional Borg-Levinson theorem

Communications in Mathematical Physics, v. 115, (4), 1988, p. 595-605
Nachman, Adrian I.; Sylvester, John; Uhlmann, Gunther
Article

Inverse Boundary Value Problems

Lecture Notes in Mathematics, v. 1324, 1988, p. 320-328
Sylvester, John; Uhlmann, Gunther
Article

Inverse Boundary-Value Problems at the Boundary - Continuous Dependence

Communications on pure and applied mathematics, v. 41, (2), March 1988, p. 197-219
Sylvester, John; Uhlmann, Gunther
Article

Microlocal Analysis and Scattering theory

Partial Differential Operators: Proceedings of ELAM VIII, held in Rio de Janeiro, July 14-25, 1986 (Lecture Notes in Mathematics - 1324) / edited by by Fernando A. Cardoso, Djairo G. de Figueiredo, Rafael Iorio, Orlando Lopes. Berlin: Springer (1988) p. 320-328
Sylvester, John; Uhlmann, Gunther
Conference paper
1987 2

A global uniqueness theorem for an inverse boundary value problem

Annals of Mathematics, v. 125, (1), 1987, p. 153-169
Sylvester, John; Uhlmann, Gunther
Article

Remarks on an inverse boundary value problem

Proceedings Oberwolfach Conference on topics in Pseudo differential Operator, 2–8 February 1986, Lecture Notes in Mathematics, 1987, p. 430-441
Sylvester, John; Uhlmann, Gunther
Conference paper
1986 3

A uniqueness theorem for an inverse boundary value problem in electrical prospection

Communications on Pure and Applied Mathematics, v. 39, (1), 1986, p. 91-112
Sylvester, John; Uhlmann, Gunther
Article

Inverse Boundary Value Problems

Proceedings VIII ELAM, Rio de Janeiro, July 14–25 1986, Partial Differential Equations, Lecture Notes in Mathematics, v. 1324, 1988, p. 320–328
Sylvester, John; Uhlmann, Gunther
Conference paper

Product type conormal distributions in scattering theory

Dynamical Systems and Partial Differential Equations: Proceedings of the VII ELAM (Escuela Latinoamericana de Matematicas VII, Universidad Simon Bolivar, Caracas, 16-27 Junio 1984) / Edited by Lara-Carrero, Lorenzo & Jorge Lewowicz. Baldwin City, KS: Michener & Rutledge Booksellers, Inc.1986, p. 155-160
Uhlmann, Gunther
Conference paper
1985 3

Scattering by a potential