20 citations · 86 across the 19 of their papers we have counts for
24 papers
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…
Inverse spectral problems with sparse data and applications to passive imaging on manifolds
Ali Feizmohammadi, Katya Krupchyk
Motivated by inverse problems with a single passive measurement, we introduce and analyze a new class of inverse spectral problems on closed Riemannian manifolds. Specifically, we…
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…
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…
Inverse problems for semilinear Schrödinger equations at large frequency via polynomial resolvent estimates on manifolds
Katya Krupchyk, Shiqi Ma, Suman Kumar Sahoo +2
We study inverse boundary problems for semilinear Schrödinger equations on smooth compact Riemannian manifolds of dimensions with smooth boundary, at a large fixed frequenc…