Determining a magnetic Schrödinger operator with a continuous magnetic potential from boundary measurements
Year: 2012
Type: preprint
Abstract: We show that the knowledge of the set of the Cauchy data on the boundary of a $C^1$ bounded open set in $\R^n$, $n\ge 3$, for the Schrödinger operator with continuous magnetic and bounded electric potentials determines the magnetic field and electric potential inside the set uniquely. The proof is based on a Carleman estimate for the magnetic Schrödinger operator with a gain of two derivatives.
Source: arXiv (Cornell University)
Authors: Krupchyk, Katsiaryna, Uhlmann, Gunther
Institutions: University of California, Irvine, University of Washington
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W1660912279