36 citations · 38 across the 11 of their papers we have counts for
18 papers
Absolute continuity of the periodic Schrödinger operator in transversal geometry
Katsiaryna Krupchyk, Gunther Uhlmann
We show that the spectrum of a Schrödinger operator on , , with a periodic smooth Riemannian metric, whose conformal multiple has a product structure with one…
Inverse boundary problems for polyharmonic operators with unbounded potentials
Katsiaryna Krupchyk, Gunther Uhlmann
We show that the knowledge of the Dirichlet-to-Neumann map on the boundary of a bounded open set in for the perturbed polyharmonic operator with ,…
On resolvent estimates for elliptic operators on compact manifolds
Katsiaryna Krupchyk, Gunther Uhlmann
We prove uniform estimates for resolvents of higher order elliptic self-adjoint differential operators on compact manifolds without boundary, generalizing a corresponding res…
Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential
Katsiaryna Krupchyk, Gunther Uhlmann
We show that the knowledge of the set of the Cauchy data on the boundary of a bounded open set in , , for the magnetic Schrödinger operator with magnetic a…
Determining a magnetic Schrödinger operator with a continuous magnetic potential from boundary measurements
Katsiaryna Krupchyk, Gunther Uhlmann
We show that the knowledge of the set of the Cauchy data on the boundary of a bounded open set in , , for the Schrödinger operator with continuous magnetic and…
Inverse transmission problems for magnetic Schrödinger operators
Katsiaryna Krupchyk
This paper is concerned with the study of inverse transmission problems for magnetic Schrödinger operators on bounded domains and in all of the Euclidean space, in the self-adjoint…