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arXiv:1205.1151 [math.AP]AbstractReferencesReviewsResources

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

Katsiaryna Krupchyk, Gunther Uhlmann

Published 2012-05-05Version 1

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 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.

Comments: arXiv admin note: substantial text overlap with arXiv:1206.4727, which supercedes this
Categories: math.AP, math-ph, math.MP
Subjects: 35J10, 35R30, 35J25
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