1302.7265 (Valter Pohjola)

An Inverse problem for the Magnetic Schrödinger Operator on a Half
Space with partial data    [PDF]

Valter Pohjola

In this paper we prove uniqueness for an inverse boundary value problem for the magnetic Schr\"odinger equation in a half space, with partial data. We prove that the curl of the magnetic potential $A$, when $A\in W_{comp}^{1,\infty}(\ov{\R^3_{-}},\R^3)$, and the electric pontetial $q \in L_{comp}^{\infty}(\ov{\R^3_{-}},\C)$ are uniquely determined by the knowledge of the Dirichlet-to-Neumann map on parts of the boundary of the half space.

View original: http://arxiv.org/abs/1302.7265