## 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