Katsiaryna Krupchyk, Gunther Uhlmann
Published 2012-06-20, updated 2012-07-09Version 2
We show that the knowledge of the set of the Cauchy data on the boundary of a bounded open set in $\R^n$, $n\ge 3$, for the magnetic Schr\"odinger operator with $L^\infty$ magnetic and 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.
Comments: This version contains a slight generalization of the main result of the previous version, with a complete proof. It supersedes the preprint http://arxiv.org/abs/1205.1151
Determining a magnetic Schrödinger operator with a continuous magnetic potential from boundary measurements
Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab and on a bounded domain
An Inverse problem for the Magnetic Schrödinger Operator on a Half Space with partial data
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