PhD in Mathematics
Massachusetts Institute of Technology, 1976
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