6 citations · 6 across the 5 of their papers we have counts for
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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…
A remark on inverse problems for nonlinear magnetic Schrödinger equations on complex manifolds
Katya Krupchyk, Gunther Uhlmann, Lili Yan
We show that the knowledge of the Dirichlet--to--Neumann map for a nonlinear magnetic Schrödinger operator on the boundary of a compact complex manifold, equipped with a Kähler met…
Partial data inverse problems for quasilinear conductivity equations
Yavar Kian, Katya Krupchyk, Gunther Uhlmann
We show that the knowledge of the Dirichlet-to-Neumann maps given on an arbitrary open non-empty portion of the boundary of a smooth domain in , , for classes…
Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds
Katya Krupchyk, Tony Liimatainen, Mikko Salo
In this article we study the linearized anisotropic Calderón problem on a compact Riemannian manifold with boundary. This problem amounts to showing that products of pairs of harmo…
Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities
Katya Krupchyk, Gunther Uhlmann
We show that the linear span of the set of scalar products of gradients of harmonic functions on a bounded smooth domain which vanish on a closed proper sub…
A remark on partial data inverse problems for semilinear elliptic equations
Katya Krupchyk, Gunther Uhlmann
We show that the knowledge of the Dirichlet-to-Neumann map on an arbitrary open portion of the boundary of a domain in , , for a class of semilinear elliptic…