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Uniqueness in an Inverse Boundary Problem for a Magnetic Schrödinger Operator with a Bounded Magnetic Potential

Published Web Location

https://doi.org/10.1007/s00220-014-1942-z
Abstract

We show that the knowledge of the set of the Cauchy data on the boundary of a bounded open set in ℝn, n ≥ 3, for the magnetic Schrödinger operator with L ∞ 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 Schrödinger operator with a gain of two derivatives. © 2014 Springer-Verlag Berlin Heidelberg.

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