1 citations · 1 across the 8 of their papers we have counts for
13 papers
Fractional Calderón problem with -conductivities
Gunther Uhlmann, Philipp Zimmermann
We study the inverse problem for the fractional conductivity equation with uniformly elliptic conductivities . For every and , we prove…
Fractional Calderón problem with a potential
Ali Feizmohammadi, Katya Krupchyk, Gunther Uhlmann
We prove that the knowledge of local Cauchy data for a fractional Schrödinger equation on a smooth closed and connected Riemannian manifold of dimension at least two determines the…
The anisotropic Calderón problem for Riemannian metrics at high fixed frequency
Mihajlo Cekić, Katya Krupchyk, Suman Kumar Sahoo +1
We study an inverse boundary value problem for the Helmholtz equation on a smooth compact non-trapping Riemannian manifold with strictly convex boundary. We prove that, given two s…
Simultaneous recovery of various time-dependent coefficients in a hyperbolic equation with space-time nonlocal attenuation
Yavar Kian, Gunther Uhlmann
This article is devoted to the inverse problem of uniquely determining different classes of coefficients in a hyperbolic equation with space-time nonlocal attenuation from a local…
Inverse coefficient problem for the wave equation with nonlocal attenuation
Yavar Kian, Zouhour Rezig, Gunther Uhlmann
In this article, we investigate the inverse problem of determining time-dependent first- and zeroth-order coefficients for a wave equation with nonlocal-in-time attenuation on a Ri…
Recovering asymptotics of potentials from the scattering of relativistic Schrödinger operators
Gunther Uhlmann, Yiran Wang
We study the stationary scattering for on . For poly-homogeneous potentials decaying at infinity, we prove that the asymptotics of the potent…
Fractional anisotropic Calderón problem with external data
Ali Feizmohammadi, Tuhin Ghosh, Katya Krupchyk +3
In this paper, we solve the fractional anisotropic Calderón problem with external data in the Euclidean space, in dimensions two and higher, for smooth Riemannian metrics that agre…
Inverse Nonlinear Scattering by a Metric
Peter Hintz, Antônio Sá Barreto, Gunther Uhlmann +1
We study the inverse problem of determining a time-dependent globally hyperbolic Lorentzian metric from the scattering operator for semilinear wave equations.
Partial data inverse problems for the nonlinear magnetic Schrödinger equation
Ru-Yu Lai, Gunther Uhlmann, Lili Yan
In this paper, we study the partial data inverse problem for nonlinear magnetic Schrödinger equations. We show that the knowledge of the Dirichlet-to-Neumann map, measured on an ar…
An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination
Shitao Liu, Gunther Uhlmann, Yang Yang
We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated fr…
Calderón problem for fractional Schrödinger operators on closed Riemannian manifolds
Ali Feizmohammadi, Katya Krupchyk, Gunther Uhlmann
We study an analog of the anisotropic Calderón problem for fractional Schrödinger operators with on closed Riemannian manifolds of dimensions two and hig…
Partial data inverse problems for reaction-diffusion and heat equations
Ali Feizmohammadi, Yavar Kian, Gunther Uhlmann
We study partial data inverse problems for linear and nonlinear parabolic equations with unknown time-dependent coefficients. In particular, we prove uniqueness results for partial…
Inverse Problems For Third-Order Nonlinear Perturbations Of Biharmonic Operators
Sombuddha Bhattacharyya, Katya Krupchyk, Suman Kumar Sahoo +1
We study inverse boundary problems for third-order nonlinear tensorial perturbations of biharmonic operators on a bounded domain in , where . By imposing app…