Gunther UHLMANN

PhD in Mathematics

Massachusetts Institute of Technology, 1976

IAS Si Yuan Professor

Chair Professor

Department of Mathematics

Chair Professor

Department of Mathematics

- Inverse problems
- Partial differential equations
- Scattering theory

A REMARK ON INVERSE PROBLEMS FOR NONLINEAR MAGNETIC SCHRÖDINGER EQUATIONS ON COMPLEX MANIFOLDS

Article

Determination of the density in a nonlinear elastic wave equation

Article

Inverse Problems for Real Principal Type Operators

Article

Recovery of Coefficients in Semilinear Transport Equations

Article

The anisotropic calderon problem for high fixed frequency

Article

Article

Partial data inverse problems for quasilinear conductivity equations

Article

Recovery of Black Hole Mass from a Single Quasinormal Mode

Article

Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements

Article

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

Article

An inverse problem for a quasilinear convection–diffusion equation

Article

Inverse problem for Einstein-scalar field equations

Article

Inverse scattering for critical semilinear wave equations

Article

NONLINEAR ULTRASOUND IMAGING MODELED BY A WESTERVELT EQUATION

Article

On the scientific work of Victor Isakov

Article

Recovery of Piecewise Smooth Density and Lamé Parameters from High Frequency Exterior Cauchy Data

Article

Single Pixel X-ray Transform and Related Inverse Problems

Article

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

Article

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

Article

Generic uniqueness and stability for the mixed ray transform

Article

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

Article

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

Article

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

Article

Optimality of increasing stability for an inverse boundary value problem

Article

Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds

Article

Reconstruction of the collision kernel in the nonlinear Boltzmann equation

Article

The Calderón Inverse Problem for Isotropic Quasilinear Conductivities

Article

The Transmission Problem in Linear Isotropic Elasticity

Article

Travel Time Tomography in Stationary Spacetimes

Article

A remark on partial data inverse problems for semilinear elliptic equations

Article

Convolutional neural networks in phase space and inverse problems

Article

Determination of Space-Time Structures from Gravitational Perturbations

Article

Inverse Problems for Nonlinear Hyperbolic Equations

Article

Nonlinear interaction of waves in elastodynamics and an inverse problem

Article

Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities

Article

Recovery of discontinuous Lamé parameters from exterior Cauchy data

Article

Recovery of Material Parameters in Transversely Isotropic Media

Article

The Calderón problem for the fractional Schrödinger equation

Article

The Light Ray Transform on Lorentzian Manifolds

Article

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

Article

Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling

Article

Inverting the local geodesic ray transform of higher rank tensors

Article

Lens Rigidity for a Particle in a Yang-Mills Field

Article

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

Article

Article

On an Inverse Boundary Problem Arising in Brain Imaging

Article

Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets

Article

Reconstruction of Piecewise Smooth Wave Speeds Using Multiple Scattering

Article

Scattering Control for the Wave Equation with Unknown Wave Speed

Article

Article

The geodesic X-ray transform with matrix weights

Article

Article

X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds

Article

Inverse problems for advection diffusion equations in admissible geometries

Article

Inverse Problems for Magnetic Schrödinger Operators in Transversally Anisotropic Geometries

Article

Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds

Article

Inversion Formulas and Range Characterizations For The Attenuated Geodesic Ray Transform

Article

Inverting the Local Geodesic X-ray Transform on Tensors

Article

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

Article

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

Article

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

Article

Quantitative Analysis of Metal Artifacts in X-ray Tomography

Article

Tensor Tomography in Periodic Slabs

Article

An Inverse Problem from Condensed Matter Physics

Article

Full and Partial Cloaking in Electromagnetic Scattering

Article

Reducing Streaking Artifacts in Quantitative Susceptibility Mapping

Article

Boundary rigidity with partial data

Article

Local analytic regularity in the linearized calderón problem

Article

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

Article

The inverse problem for the local geodesic ray transform

Article

The X-Ray Transform for Connections in Negative Curvature

Article

An inverse kinematic problem with internal sources

Article

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

Article

Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

Article

On LpResolvent Estimates for Elliptic Operators on Compact Manifolds

Article

On the range of the attenuated ray transform for unitary connections

Article

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

Article

Article

The geodesic ray transform on Riemannian surfaces with conjugate points

Article

The Neumann-to-Dirichlet map in two dimensions

Article

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

Article

Inverse boundary value problems for the perturbed polyharmonic operator

Article

Inverse problems: seeing the unseen

Article

Photoacoustic and thermoacoustic tomography with an uncertain wave speed

Article

Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD

Article

Spectral rigidity and invariant distributions on anosov surfaces

Article

Tensor tomography: Progress and challenges

Article

Uniqueness for the inverse backscattering problem for angularly controlled potentials

Article

Article

Increasing stability in an inverse problem for the acoustic equation

Article

Article

Inverse Boundary Problems for Systems in Two Dimensions

Article

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

Article

Article

Article

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

Article

Article

Inverse Problems and Applications: Inside Out II

Book

Multi-wave methods via ultrasound

Book chapter

Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics

Article

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

Article

Article

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

Article

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

Article

Reconstructions for some coupled-physics inverse problems

Article

Article

The attenuated ray transform for connections and Higgs fields

Article

The geodesic x-ray transform with fold caustics

Article

An adaptive phase space method with application to reflection traveltime tomography

Article

Article

Approximate quantum and acoustic cloaking

Article

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

Article

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

Article

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

Article

Cloaking a sensor via transformation optics

Article

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

Article

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

Article

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

Article

Inverse problems for differential forms on riemannian manifolds with boundary

Article

Inverse problems for the anisotropic maxwell equations

Article

Polarization-invariant directional cloaking by transformation optics

Article

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

Article

Quantitative thermo-acoustics and related problems

Article

Reconstruction of penetrable obstacles in acoustic scattering

Article

Reconstructions from boundary measurements on admissible manifolds

Article

The attenuated ray transform on simple surfaces

Article

Thermoacoustic tomography arising in brain imaging

Article

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

Article

Tomography and Inverse Transport Theory

Book

Book chapter

Inverse diffusion theory of photoacoustics

Article

Inverse problems with partial data in a slab

Article

Inverse scattering for the magnetic Schrödinger operator

Article

Methods and Applications of Analysis: Preface

Article

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

Article

Reconstructing the metric and magnetic field from the scattering relation

Article

Rigidity of broken geodesic flow and inverse problems

Article

The calderón problem with partial data in two dimensions

Article

A depth-dependent stability estimate in electrical impedance tomography

Article

Cloaking devices, electromagnetic wormholes, and transformation optics

Article

Electrical impedance tomography and Calderón's problem

Article

Invisibility and inverse problems

Article

Limiting Carleman weights and anisotropic inverse problems

Article

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

Article

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

Article

On the linearized local calderón problem

Article

Reconstruction of inclusions in an elastic body

Article

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

Article

Thermoacoustic tomography with variable sound speed

Article

Unique Continuation Property for the Elasticity with General Residual Stress

Article

Conference paper

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

Article

An Inverse Source Problem in Optical Molecular Imaging

Article

Approximate Quantum Cloaking and Almost-Trapped States

Article

Complex geometrical optics solutions for anisotropic equations and applications

Article

Electromagnetic wormholes via handlebody constructions

Article

Generalized backscattering and the Lax-Phillips transform

Article

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

Article

Isotropie transformation optics: Approximate acoustic and quantum cloaking

Article

Reconstructing discontinuities using complex geometrical optics solutions

Article

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

Article

Boundary and lens rigidity, tensor tomography and analytic microlocal analysis

Book chapter

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

Book chapter

A phase-space formulation for elastic-wave traveltime tomography

Conference paper

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

Article

Complex spherical waves for the elasticity system and probing of inclusions

Article

Determining a magnetic Schrödinger operator from partial cauchy data

Article

Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials

Article

Full-wave invisibility of active devices at all frequencies

Article

Improvement of cylindrical cloaking with the SHS lining

Article

Parametrices for symmetric systems with multiplicity

Article

Probing for electrical inclusions with complex spherical waves

Article

Reconstruction of obstacles immersed in an incompressible fluid

Article

The boundary rigidity problem in the presence of a magnetic field

Article

The Calderón problem for partial cauchy data

Article

The Calderón problem with partial data

Article

Unique continuation for hyperbolic equations with memory

Article

Inverse problems, invisibility, and artificial wormholes

Conference paper

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

Article

Inverse problems and Applications

Conference paper

Oscillating-Decaying Solutions for Elliptic Systems

Conference paper

Reconstruction of discontinuities in systems

Conference paper

The scattering relation and the Dirichlet-to-Neumann map

Conference paper

Boundary rigidity and stability for generic simple metrics

Article

Article

Recent Progress on the Boundary Rigidity Problem

Article

Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources

Article

Regularity of ghosts in tensor tomography

Article

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

Article

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

Article

Hyperbolic geometry and local Dirichlet-Neumann map

Article

Inverse problems for the Pauli Hamiltonian in two dimensions

Article

Inverse Problems in N-body scattering

Article

Inverse scattering problem in nuclear physics - Optical model

Article

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

Article

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

Article

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

Article

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

Article

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

Article

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

Article

Geometric Methods in Inverse Problems and PDE Control

Book

Partial Differential Equations and Inverse Problems

Book

On the Local Dirichlet-to-Neumann Map

Book chapter

Anisotropic inverse problems in two dimensions

Article

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

Article

Complex geometrical optics solutions for Lipschitz conductivities

Article

Geometrical optics for generic anisotropic materials

Article

Inverse problems in three-body scattering

Article

On nonuniqueness for calderón's inverse problem

Article

Optical tomography in two dimensions

Article

Propagation of polarization in elastodynamics with residual stress and travel times

Article

Reconstruction of cracks in an inhomogeneous anisotropic elastic medium

Article

Semiglobal boundary rigidity for Riemannian metrics

Article

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

Article

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

Article

Inside Out: Inverse Problems and Applications

Book

Inverse Problems: Theory and Applications

Book

Inverse boundary problems in two dimensions

Book chapter

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

Book chapter

The Cauchy data and the scattering relation

Book chapter

Anisotropic conductivities that cannot be detected by EIT

Conference paper

The inverse kinematic problem in anisotropic media

Conference paper

Fixed energy inverse problem for exponentially decreasing potentials

Article

Low-energy inverse problems in three-body scattering

Article

Reconstruction of the memory from partial boundary measurements

Article

Recovering a potential from partial Cauchy data

Article

Complex geometrical optics solutions and pseudoanalytic matrices

Book chapter

Book chapter

Recovering acoustic and elastic parameters from travel times

Conference paper

A time-dependent approach to the inverse backscattering problem

Article

Characteristic space-time estimates for the wave equation

Article

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

Article

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

Article

Recent progress in the anisotropic electrical impedance problem

Article

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

Article

Article

Inverse scattering in anisotropic media

Book chapter

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

Article

Inverse elastic scattering at a fixed energy

Article

Layer stripping for a transversely isotropic elastic medium

Article

Developments in inverse problems since Calderon’s foundational paper

Book chapter

Inverse Boundary Value Problems for Partial Differential Equations

Article

Rigidity for metrics with the same lengths of Geodesics

Article

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

Article

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

Article

Inverse backscattering for the acoustic equation

Article

Inverse problems in quasilinear anisotropic media

Article

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

Article

A layer stripping algorithm in elastic impedance tomography

Book chapter

Inverse problems in non-linear media

Article

Inverse boundary value problems for elastic materials

Book chapter

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

Article

Inverse Problems at the Boundary for an Elastic Medium

Article

Conference paper

Global uniqueness for an inverse boundary problem arising in elasticity

Article

Inverse Boundary and Scattering Problems for an Elastic Medium

Conference paper

The modified Radon transform of Lax and Phillips in scattering theory

Conference paper

Identification of Lame parameters from boundary measurements

Article

Inverse boundary value problems for first order perturbations of the Laplacian

Article

Inverse Scattering for Singular Potentials in Two Dimensions

Article

Recovering singularities of a potential from singularities of scattering data

Article

Recovery of singularities for formally determined inverse problems

Article

An inverse boundary value problem for Maxwell's equations

Article

Inverse Boundary-Value-Problems and Applications

Article

Microlocal analysis of the two-plane transform

Article

Article

Generic uniqueness for an inverse boundary value problem

Article

Inverse problems in anisotropic media

Article

Generic uniqueness for determined inverse problems in 2 dimensions

Conference paper

Uniqueness for Identifying Lamé Moduli by Dirichlet to Neumann Map

Conference paper

Article

Estimates for singular radon transforms and pseudodifferential operators with singular symbols

Article

Microlocal techniques in integral geometry

Article

Determining anisotropic real-analytic conductivities by boundary measurements

Article

Non-local inversion formulas for the X-ray transform

Article

The Dirichlet to Neumann map and applications

Conference paper

An n-dimensional Borg-Levinson theorem

Article

Inverse Boundary Value Problems

Article

Inverse Boundary-Value Problems at the Boundary - Continuous Dependence

Article

Microlocal Analysis and Scattering theory

Conference paper

A global uniqueness theorem for an inverse boundary value problem

Article

Remarks on an inverse boundary value problem

Conference paper

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

Article

Inverse Boundary Value Problems

Conference paper

Product type conormal distributions in scattering theory

Conference paper

Article

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

Conference paper

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

Conference paper

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

Article

Article

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

Article

Light intensity distribution in conical refraction

Article

Oscillatory integrals with singular symbols

Article

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

An inverse problem for a quasilinear convection–diffusion equation

NONLINEAR ULTRASOUND IMAGING MODELED BY A WESTERVELT EQUATION

Recovery of Piecewise Smooth Density and Lamé Parameters from High Frequency Exterior Cauchy Data

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

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

Generic uniqueness and stability for the mixed ray transform

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

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

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

Optimality of increasing stability for an inverse boundary value problem

Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds

Reconstruction of the collision kernel in the nonlinear Boltzmann equation

The Calderón Inverse Problem for Isotropic Quasilinear Conductivities

A remark on partial data inverse problems for semilinear elliptic equations

Convolutional neural networks in phase space and inverse problems

Determination of Space-Time Structures from Gravitational Perturbations

Nonlinear interaction of waves in elastodynamics and an inverse problem

Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities

Recovery of discontinuous Lamé parameters from exterior Cauchy data

Recovery of Material Parameters in Transversely Isotropic Media

The Calderón problem for the fractional Schrödinger equation

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

Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling

Inverting the local geodesic ray transform of higher rank tensors

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

Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets

Reconstruction of Piecewise Smooth Wave Speeds Using Multiple Scattering

Scattering Control for the Wave Equation with Unknown Wave Speed

X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds

Inverse problems for advection diffusion equations in admissible geometries

Inverse Problems for Magnetic Schrödinger Operators in Transversally Anisotropic Geometries

Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds

Inversion Formulas and Range Characterizations For The Attenuated Geodesic Ray Transform

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

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

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

Quantitative Analysis of Metal Artifacts in X-ray Tomography

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

Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

On LpResolvent Estimates for Elliptic Operators on Compact Manifolds

On the range of the attenuated ray transform for unitary connections

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

The geodesic ray transform on Riemannian surfaces with conjugate points

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

Inverse boundary value problems for the perturbed polyharmonic operator

Photoacoustic and thermoacoustic tomography with an uncertain wave speed

Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD

Spectral rigidity and invariant distributions on anosov surfaces

Uniqueness for the inverse backscattering problem for angularly controlled potentials

Increasing stability in an inverse problem for the acoustic equation

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

Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics

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

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

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

The attenuated ray transform for connections and Higgs fields

An adaptive phase space method with application to reflection traveltime tomography

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

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

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

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

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

Inverse problems for differential forms on riemannian manifolds with boundary

Polarization-invariant directional cloaking by transformation optics

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

Reconstruction of penetrable obstacles in acoustic scattering

Reconstructions from boundary measurements on admissible manifolds

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

A depth-dependent stability estimate in electrical impedance tomography

Cloaking devices, electromagnetic wormholes, and transformation optics

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

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

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

Unique Continuation Property for the Elasticity with General Residual Stress

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

Complex geometrical optics solutions for anisotropic equations and applications

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

Isotropie transformation optics: Approximate acoustic and quantum cloaking

Reconstructing discontinuities using complex geometrical optics solutions

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

Boundary and lens rigidity, tensor tomography and analytic microlocal analysis

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

A phase-space formulation for elastic-wave traveltime tomography

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

Complex spherical waves for the elasticity system and probing of inclusions

Determining a magnetic Schrödinger operator from partial cauchy data

Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials

Probing for electrical inclusions with complex spherical waves

Reconstruction of obstacles immersed in an incompressible fluid

The boundary rigidity problem in the presence of a magnetic field

Inverse problems for the Pauli Hamiltonian in two dimensions

Inverse scattering problem in nuclear physics - Optical model

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

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

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

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

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

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

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

Complex geometrical optics solutions for Lipschitz conductivities

Propagation of polarization in elastodynamics with residual stress and travel times

Reconstruction of cracks in an inhomogeneous anisotropic elastic medium

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

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

Fixed energy inverse problem for exponentially decreasing potentials

Reconstruction of the memory from partial boundary measurements

Recovering acoustic and elastic parameters from travel times

A time-dependent approach to the inverse backscattering problem

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

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

Recent progress in the anisotropic electrical impedance problem

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

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

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

Identification of Lame parameters from boundary measurements

Inverse boundary value problems for first order perturbations of the Laplacian

Inverse Scattering for Singular Potentials in Two Dimensions

Recovering singularities of a potential from singularities of scattering data

Recovery of singularities for formally determined inverse problems

Inverse problems for advection diffusion equations in admissible geometries

Article

Inverse Problems for Magnetic Schrödinger Operators in Transversally Anisotropic Geometries

Article

Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds

Article

Inversion Formulas and Range Characterizations For The Attenuated Geodesic Ray Transform

Article

Inverting the Local Geodesic X-ray Transform on Tensors

Article

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

Article

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

Article

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

Article

Quantitative Analysis of Metal Artifacts in X-ray Tomography

Article

Tensor Tomography in Periodic Slabs

Article

An Inverse Problem from Condensed Matter Physics

Article

Full and Partial Cloaking in Electromagnetic Scattering

Article

Reducing Streaking Artifacts in Quantitative Susceptibility Mapping

Article

Boundary rigidity with partial data

Article

Local analytic regularity in the linearized calderón problem

Article

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

Article

The inverse problem for the local geodesic ray transform

Article

The X-Ray Transform for Connections in Negative Curvature

Article

An inverse kinematic problem with internal sources

Article

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

Article

Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

Article

On LpResolvent Estimates for Elliptic Operators on Compact Manifolds

Article

On the range of the attenuated ray transform for unitary connections

Article

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

Article

Article

The geodesic ray transform on Riemannian surfaces with conjugate points

Article

The Neumann-to-Dirichlet map in two dimensions

Article

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

Article

Inverse boundary value problems for the perturbed polyharmonic operator

Article

Inverse problems: seeing the unseen

Article

Photoacoustic and thermoacoustic tomography with an uncertain wave speed

Article

Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD

Article

Spectral rigidity and invariant distributions on anosov surfaces

Article

Tensor tomography: Progress and challenges

Article

Uniqueness for the inverse backscattering problem for angularly controlled potentials

Article

Article

Increasing stability in an inverse problem for the acoustic equation

Article

Article

Inverse Boundary Problems for Systems in Two Dimensions

Article

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

Article

Article

Article

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

Article

Article

Inverse Problems and Applications: Inside Out II

Book

Multi-wave methods via ultrasound

Book chapter

Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics

Article

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

Article

Article

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

Article

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

Article

Reconstructions for some coupled-physics inverse problems

Article

Article

The attenuated ray transform for connections and Higgs fields

Article

The geodesic x-ray transform with fold caustics

Article

An adaptive phase space method with application to reflection traveltime tomography

Article

Article

Approximate quantum and acoustic cloaking

Article

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

Article

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

Article

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

Article

Cloaking a sensor via transformation optics

Article

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

Article

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

Article

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

Article

Inverse problems for differential forms on riemannian manifolds with boundary

Article

Inverse problems for the anisotropic maxwell equations

Article

Polarization-invariant directional cloaking by transformation optics

Article

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

Article

Quantitative thermo-acoustics and related problems

Article

Reconstruction of penetrable obstacles in acoustic scattering

Article

Reconstructions from boundary measurements on admissible manifolds

Article

The attenuated ray transform on simple surfaces

Article

Thermoacoustic tomography arising in brain imaging

Article

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

Article

Tomography and Inverse Transport Theory

Book

Book chapter

Inverse diffusion theory of photoacoustics

Article

Inverse problems with partial data in a slab

Article

Inverse scattering for the magnetic Schrödinger operator

Article

Methods and Applications of Analysis: Preface

Article

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

Article

Reconstructing the metric and magnetic field from the scattering relation

Article

Rigidity of broken geodesic flow and inverse problems

Article

The calderón problem with partial data in two dimensions

Article

A depth-dependent stability estimate in electrical impedance tomography

Article

Cloaking devices, electromagnetic wormholes, and transformation optics

Article

Electrical impedance tomography and Calderón's problem

Article

Invisibility and inverse problems

Article

Limiting Carleman weights and anisotropic inverse problems

Article

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

Article

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

Article

On the linearized local calderón problem

Article

Reconstruction of inclusions in an elastic body

Article

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

Article

Thermoacoustic tomography with variable sound speed

Article

Unique Continuation Property for the Elasticity with General Residual Stress

Article

Conference paper

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

Article

An Inverse Source Problem in Optical Molecular Imaging

Article

Approximate Quantum Cloaking and Almost-Trapped States

Article

Complex geometrical optics solutions for anisotropic equations and applications

Article

Electromagnetic wormholes via handlebody constructions

Article

Generalized backscattering and the Lax-Phillips transform

Article

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

Article

Isotropie transformation optics: Approximate acoustic and quantum cloaking

Article

Reconstructing discontinuities using complex geometrical optics solutions

Article

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

Article

Boundary and lens rigidity, tensor tomography and analytic microlocal analysis

Book chapter

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

Book chapter

A phase-space formulation for elastic-wave traveltime tomography

Conference paper

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

Article

Complex spherical waves for the elasticity system and probing of inclusions

Article

Determining a magnetic Schrödinger operator from partial cauchy data

Article

Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials

Article

Full-wave invisibility of active devices at all frequencies

Article

Improvement of cylindrical cloaking with the SHS lining

Article

Parametrices for symmetric systems with multiplicity

Article

Probing for electrical inclusions with complex spherical waves

Article

Reconstruction of obstacles immersed in an incompressible fluid

Article

The boundary rigidity problem in the presence of a magnetic field

Article

The Calderón problem for partial cauchy data

Article

The Calderón problem with partial data

Article

Unique continuation for hyperbolic equations with memory

Article

Inverse problems, invisibility, and artificial wormholes

Conference paper

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

Article

Inverse problems and Applications

Conference paper

Oscillating-Decaying Solutions for Elliptic Systems

Conference paper

Reconstruction of discontinuities in systems

Conference paper

The scattering relation and the Dirichlet-to-Neumann map

Conference paper

Boundary rigidity and stability for generic simple metrics

Article

Article

Recent Progress on the Boundary Rigidity Problem

Article

Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources

Article

Regularity of ghosts in tensor tomography

Article

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

Article

Two dimensional compact simple Riemannian manifolds are boundary distance rigid

Article

Hyperbolic geometry and local Dirichlet-Neumann map

Article

Inverse problems for the Pauli Hamiltonian in two dimensions

Article

Inverse Problems in N-body scattering

Article

Inverse scattering problem in nuclear physics - Optical model

Article

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

Article

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

Article

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

Article

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

Article

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

Article

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

Article

Geometric Methods in Inverse Problems and PDE Control

Book

Partial Differential Equations and Inverse Problems

Book

On the Local Dirichlet-to-Neumann Map

Book chapter

Anisotropic inverse problems in two dimensions

Article

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

Article

Complex geometrical optics solutions for Lipschitz conductivities

Article

Geometrical optics for generic anisotropic materials

Article

Inverse problems in three-body scattering

Article

On nonuniqueness for calderón's inverse problem

Article

Optical tomography in two dimensions

Article

Propagation of polarization in elastodynamics with residual stress and travel times

Article

Reconstruction of cracks in an inhomogeneous anisotropic elastic medium

Article

Semiglobal boundary rigidity for Riemannian metrics

Article

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

Article

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

Article

Inside Out: Inverse Problems and Applications

Book

Inverse Problems: Theory and Applications

Book

Inverse boundary problems in two dimensions

Book chapter

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

Book chapter

The Cauchy data and the scattering relation

Book chapter

Anisotropic conductivities that cannot be detected by EIT

Conference paper

The inverse kinematic problem in anisotropic media

Conference paper

Fixed energy inverse problem for exponentially decreasing potentials

Article

Low-energy inverse problems in three-body scattering

Article

Reconstruction of the memory from partial boundary measurements

Article

Recovering a potential from partial Cauchy data

Article

Complex geometrical optics solutions and pseudoanalytic matrices

Book chapter

Book chapter

Recovering acoustic and elastic parameters from travel times

Conference paper

A time-dependent approach to the inverse backscattering problem

Article

Characteristic space-time estimates for the wave equation

Article

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

Article

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

Article

Recent progress in the anisotropic electrical impedance problem

Article

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

Article

Article

Inverse scattering in anisotropic media

Book chapter

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

Article

Inverse elastic scattering at a fixed energy

Article

Layer stripping for a transversely isotropic elastic medium

Article

Developments in inverse problems since Calderon’s foundational paper

Book chapter

Inverse Boundary Value Problems for Partial Differential Equations

Article

Rigidity for metrics with the same lengths of Geodesics

Article

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

Article

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

Article

Inverse backscattering for the acoustic equation

Article

Inverse problems in quasilinear anisotropic media

Article

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

Article

A layer stripping algorithm in elastic impedance tomography

Book chapter

Inverse problems in non-linear media

Article

Inverse boundary value problems for elastic materials

Book chapter

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

Article

Inverse Problems at the Boundary for an Elastic Medium

Article

Conference paper

Global uniqueness for an inverse boundary problem arising in elasticity

Article

Inverse Boundary and Scattering Problems for an Elastic Medium

Conference paper

The modified Radon transform of Lax and Phillips in scattering theory

Conference paper