275 citations · 965 across the 65 of their papers we have counts for
10 papers · 2 filters
Recovery of nonlinear terms for reaction diffusion equations from boundary measurements
Yavar Kian, Gunther Uhlmann
We consider the inverse problem of determining a general semilinear term appearing in nonlinear parabolic equations. For this purpose, we derive a new criterion that allows to prov…
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…
The higher order fractional Calderón problem for linear local operators: uniqueness
Giovanni Covi, Keijo Mönkkönen, Jesse Railo +1
We study an inverse problem for the fractional Schrödinger equation (FSE) with a local perturbation by a linear partial differential operator (PDO) of order smaller than the order…
Travel time tomography in stationary spacetimes
Gunther Uhlmann, Yang Yang, Hanming Zhou
In this paper, we consider the boundary rigidity problem on a cylindrical domain in , , equipped with a stationary (time-invariant) Lorentzian metric. We…