AN INVERSE PROBLEM FOR THE MAGNETIC SCHRODINGER OPERATOR ON A HALF SPACE WITH PARTIAL DATA

作者：Pohjola Valter^*

来源：Inverse Problems and Imaging, 2014, 8(4): 1169-1189.

DOI：10.3934/ipi.2014.8.1169

• Inverse boundary value problem
• magnetic Schrodinger operator
• half space
• uniqueness
• partial data

In this paper we prove uniqueness for an inverse boundary value problem for the magnetic Schrodinger equation in a half space, with partial data. We prove that the curl of the magnetic potential A, when A 2 W-comp(1,infinity)(%26lt;(R%26lt;((3))under bar%26gt;)over bar%26gt;; R-3), and the electric pontetial q is an element of L-comp(infinity)(%26lt;(R%26lt;((3))under bar%26gt;)over bar%26gt;; C) are uniquely determined by the knowledge of the Dirichlet-to-Neumann map on parts of the boundary of the half space.

• 出版日期2014-11