Determining a magnetic Schr\"odinger operator with a continuous magnetic potential from boundary measurements
Analysis of PDEs
2012-07-10 v1 Mathematical Physics
math.MP
Abstract
We show that the knowledge of the set of the Cauchy data on the boundary of a bounded open set in , , for the Schr\"odinger 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 Schr\"odinger operator with a gain of two derivatives.
Keywords
Cite
@article{arxiv.1205.1151,
title = {Determining a magnetic Schr\"odinger operator with a continuous magnetic potential from boundary measurements},
author = {Katsiaryna Krupchyk and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1205.1151},
year = {2012}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1206.4727, which supercedes this