1205.1151 (Katsiaryna Krupchyk et al.)

Determining a magnetic Schrödinger operator with a continuous magnetic
potential from boundary measurements    [PDF]

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