Determining a magnetic Schrödinger operator with a continuous magnetic potential from boundary measurements

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.

arXiv admin note: substantial text overlap with arXiv:1206.4727, which supercedes this