Katya Krupchyk

activity

20162020

most citedPartial data inverse problems for quasilinear conductivity equations

6 citations · 6 across the 3 of their papers we have counts for

collaborators

5 papers

math.AP2020★ 6 cited

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 $R^{n}$ , $n \geq 2$ , for classes…

math.AP2020

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…

math.AP2019

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 $Ω \subset R^{n}$ which vanish on a closed proper sub…

math.AP2019

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 $R^{n}$ , $n \geq 2$ , for a class of semilinear elliptic…

math.AP2016

$L^{p}$ concentration estimates for the Laplacian eigenfunctions near submanifolds