6 citations · 7 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds
Ali Feizmohammadi, Katya Krupchyk, Lauri Oksanen +1
We show that a continuous potential can be constructively determined from the knowledge of the Dirichlet-to-Neumann map for the Schrödinger operator on a conformally t…
Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds
Katya Krupchyk, Gunther Uhlmann
We study the inverse boundary problem for a nonlinear magnetic Schrödinger operator on a conformally transversally anisotropic Riemannian manifold of dimension . Under suit…
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…