Tuesday, May 8, 2012

1205.1151 (Katsiaryna Krupchyk et al.)

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

Katsiaryna Krupchyk, Gunther Uhlmann
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.
View original: http://arxiv.org/abs/1205.1151

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