Publications (113)
On the microlocal analysis of the geodesic X-ray transform with conjugate points
Sean Holman, Gunther Uhlmann
On an inverse boundary problem arising in brain imaging
Youjun Deng, Hongyu Liu, Gunther Uhlmann
The X-ray transform for connections in negative curvature
Colin Guillarmou, Gabriel P. Paternain, Mikko Salo +1
Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain
Ching-Lung Lin, Gunther Uhlmann, Jenn-Nan Wang
Bounds on eigenfunctions of semiclassical operators with double characteristics
Katya Krupchyk, Gunther Uhlmann
Inverse problems in N-body scattering
Gunther Uhlmann, Andras Vasy
Electromagnetic wormholes and virtual magnetic monopoles
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
Inverse Boundary Problems for Systems in Two Dimensions
Pierre Albin, Colin Guillarmou, Leo Tzou +1
Full-wave invisibility of active devices at all frequencies
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
The attenuated ray transform for connections and Higgs fields
Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann
Linearizing non-linear inverse problems and an application to inverse backscattering
Plamen Stefanov, Gunther Uhlmann
The attenuated ray transform on simple surfaces
Mikko Salo, Gunther Uhlmann
On regularized full- and partial-cloaks in acoustic scattering
Youjun Deng, Hongyu Liu, Gunther Uhlmann
Inverse problems for the stationary transport equation in the diffusion scaling
Ru-Yu Lai, Qin Li, Gunther Uhlmann
The Calderón problem for quasilinear elliptic equations
Claudio Muñoz, Gunther Uhlmann
Journey to the Center of the Earth
Gunther Uhlmann, Hanming Zhou
Tensor tomography: progress and challenges
Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann
Inverse Diffusion Theory of Photoacoustics
Guillaume Bal, Gunther Uhlmann
Determination of space-time structures from gravitational perturbations
Gunther Uhlmann, Yiran Wang
Nonlinear responses from the interaction of two progressing waves at an interface
Maarten de Hoop, Gunther Uhlmann, Yiran Wang
Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields
Guillaume Bal, Francois Monard, Gunther Uhlmann
Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab and on a bounded domain
Katsiaryna Krupchyk, Matti Lassas, Gunther Uhlmann
Fixed energy inverse problem for exponentially decreasing potentials
Gunther Uhlmann, Andras Vasy
Absolute continuity of the periodic Schrödinger operator in transversal geometry
Katsiaryna Krupchyk, Gunther Uhlmann
On $L^p$ resolvent estimates for elliptic operators on compact manifolds
Katsiaryna Krupchyk, Gunther Uhlmann
Tensor tomography in periodic slabs
Joonas Ilmavirta, Gunther Uhlmann
Recovery of a source term or a speed with one measurement and applications
Plamen Stefanov, Gunther Uhlmann
Comment on "Scattering Theory Derivation of a 3D Acoustic Cloaking Shell"
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
On nonuniqueness for Calderon's inverse problem
Allan Greenleaf, Matti Lassas, Gunther Uhlmann
Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak
Jingzhi Li, Hongyu Liu, Luca Rondi +1
Inverse problems for differential forms on Riemannian manifolds with boundary
Katsiaryna Krupchyk, Matti Lassas, Gunther Uhlmann
Linearization stability results and active measurements for the Einstein-scalar field equations
Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann
The inverse problem for the local geodesic ray transform
Gunther Uhlmann, András Vasy
Reconstructions from boundary measurements on admissible manifolds
Carlos E. Kenig, Mikko Salo, Gunther Uhlmann
Inverse problem for Einstein-scalar field equations
Yaroslav Kurylev, Matti Lassas, Lauri Oksanen +1
On reconstruction of Lamé coefficients from partial Cauchy data in three dimensions
Oleg Imanuvilov, Gunther Uhlmann, Masashiro Yamamoto
Global uniqueness from partial Cauchy data in two dimensions
Oleg Y. Imanuvilov, Gunther Uhlmann, Masahiro Yamamoto
On the stable recovery of a metric from the hyperbolic DN map with incomplete data
Plamen Stefanov, Gunther Uhlmann, Andras Vasy
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map
Plamen Stefanov, Gunther Uhlmann
Cloaking a sensor via transformation optics
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
Boundary rigidity with partial data
Plamen Stefanov, Gunther Uhlmann, Andras Vasy
On the inverse problem of finding cosmic strings and other topological defects
Matti Lassas, Lauri Oksanen, Plamen Stefanov +1
Determination of structures in the space-time from local measurements: a detailed exposition
Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann
An Inverse Kinematic Problem with Internal Sources
Leonid Pestov, Gunther Uhlmann, Hanming Zhou
Regularized Transformation-Optics Cloaking in Acoustic and Electromagnetic Scattering
Hongyu Liu, Gunther Uhlmann
Inverse problems for magnetic Schrödinger operators in transversally anisotropic geometries
Katya Krupchyk, Gunther Uhlmann
Uniqueness for the inverse backscattering problem for angularly controlled potentials
Rakesh, Gunther Uhlmann
Thermoacoustic tomography arising in brain imaging
Plamen Stefanov, Gunther Uhlmann
An inverse source problem in optical molecular imaging
Plamen Stefanov, Gunther Uhlmann
Is a curved flight path in SAR better than a straight one?
Plamen Stefanov, Gunther Uhlmann
Low energy inverse problems in three-body scattering
Gunther Uhlmann, Andras Vasy
Generalized backscattering and the Lax-Phillips transform
Richard Melrose, Gunther Uhlmann
Photoacoustic and thermoacoustic tomography with an uncertain wave speed
Lauri Oksanen, Gunther Uhlmann
Effectiveness and improvement of cylindrical cloaking with the SHS lining
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
Nonlinear interaction of waves in elastodynamics and an inverse problem
Maarten de Hoop, Gunther Uhlmann, Yiran Wang
Invisibility and Inverse Problems
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
Partial Data for the Calderon Problem in Two Dimensions
Oleg Yu. Imanuvilov, Gunther Uhlmann, masahiro Yamamoto
Integral geometry of tensor fields on a class of non-simple Riemannian manifolds
Plamen Stefanov, Gunther Uhlmann
The elastic wave equation of limited smoothness
Valeriy Brytik, Maarten de Hoop, Hart Smith +1
Inverse problems for semilinear wave equations on Lorentzian manifolds
Matti Lassas, Gunther Uhlmann, Yiran Wang
Unique determination of the index of refraction from phase-less near-field data in two dimensions
Yat Tin Chow, Fadil Santosa, Gunther Uhlmann
Full and Partial Cloaking in Electromagnetic Scattering
Youjun Deng, Hongyu Liu, Gunther Uhlmann
Increasing stability in an inverse problem for the acoustic equation
Sei Nagayasu, Gunther Uhlmann, Jenn-Nan Wang
The X-ray transform for a generic family of curves
Bela Frigyik, Plamen Stefanov, Gunther Uhlmann
Inverse boundary value problems for the perturbed polyharmonic operator
Katsiaryna Krupchyk, Matti Lassas, Gunther Uhlmann
Determining a magnetic Schroedinger operator from partial Cauchy data
David Dos Santos Ferreira, Carlos Kenig, Johannes Sjoestrand +1
Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions
Guillaume Bal, Gunther Uhlmann
Approximate quantum and acoustic cloaking
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
Spectral rigidity and invariant distributions on Anosov surfaces
Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann
Thermoacoustic tomography with variable sound speed
Plamen Stefanov, Gunther Uhlmann
Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential
Katsiaryna Krupchyk, Gunther Uhlmann
Schrodinger's Hat: Electromagnetic, acoustic and quantum amplifiers via transformation optics
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
The geodesic X-ray transform with matrix weights
Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann +1
The point source inverse back-scattering problem
Rakesh, Gunther Uhlmann
Determination of vacuum space-times from the Einstein-Maxwell equations
Matti Lassas, Gunther Uhlmann, Yiran Wang
Determining a first order perturbation of the biharmonic operator by partial boundary measurements
Katsiaryna Krupchyk, Matti Lassas, Gunther Uhlmann
Lens rigidity for a particle in a Yang-Mills field
Gabriel P. Paternain, Gunther Uhlmann, Hanming Zhou
Rigidity of broken geodesic flow and inverse problems
Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann
Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane
Ru-Yu Lai, Gunther Uhlmann, Jenn-Nan Wang
Inverse scattering for the magnetic Schroedinger operator
Lassi Päivärinta, Mikko Salo, Gunther Uhlmann
On the range of the attenuated ray transform for unitary connections
Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann
Reconstruction of piecewise smooth wave speeds using multiple scattering
Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1
Inverse problems in spacetime I: Inverse problems for Einstein equations - Extended preprint version
Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann
Inverting the local geodesic X-ray transform on tensors
Plamen Stefanov, Gunther Uhlmann, András Vasy
Superdimensional Metamaterial Resonators
Allan Greenleaf, Henrik Kettunen, Yaroslav Kurylev +2
Instability of the linearized problem in multiwave tomography of recovery both the source and the speed
Plamen Stefanov, Gunther Uhlmann
Reducing Streaking Artifacts in Quantitative Susceptibility Mapping
Benjamin Palacios, Gunther Uhlmann, Yiran Wang
The Calderón problem with partial data for conductivities with $3/2$ derivatives
Katya Krupchyk, Gunther Uhlmann
Local analytic regularity in the linearized Calderón problem
Johannes Sjoestrand, Gunther Uhlmann
Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann
The geodesic ray transform on Riemannian surfaces with conjugate points
François Monard, Plamen Stefanov, Gunther Uhlmann
Determining a magnetic Schrödinger operator with a continuous magnetic potential from boundary measurements
Katsiaryna Krupchyk, Gunther Uhlmann
An inverse problem from condense matter physics
Ru-Yu Lai, Ravi Shankar, Daniel Spirn +1
The geodesic X-ray transform with fold caustics
Plamen Stefanov, Gunther Uhlmann
Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
Allan Greenleaf, Gunther Uhlmann
The Calderon problem for conormal potentials, I: Global uniqueness and reconstruction
Allan Greenleaf, Matti Lassas, Gunther Uhlmann
Inverse boundary problems for polyharmonic operators with unbounded potentials
Katsiaryna Krupchyk, Gunther Uhlmann
Local lens rigidity with incomplete data for a class of non-simple Riemannian manifolds
Plamen Stefanov, Gunther Uhlmann
Reconstructions for some coupled-physics inverse problems
Guillaume Bal, Gunther Uhlmann
Inverse problems for advection diffusion equations in admissible geometries
Katya Krupchyk, Gunther Uhlmann