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

2013/02/28 by Pohjola, Valter
#35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1302.7265

Abstract

In this paper we prove uniqueness for an inverse boundary value problem for the magnetic Schrödinger equation in a half space, with partial data. We prove that the curl of the magnetic potential A, when A∈ W_comp^1,∞(\ov\R³_-,\R³), and the electric pontetial q ∈ L_comp^∞(\ov\R³_-,\C) are uniquely determined by the knowledge of the Dirichlet-to-Neumann map on parts of the boundary of the half space.

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