7 papers
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 poten…
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 agr…
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 a…
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 an…