Optimal stability estimates for a magnetic Schrödinger operator with local data

Abstract

In this paper we prove identifiability and stability estimates for a local-data inverse boundary value problem for a magnetic Schrödinger operator in dimension . We assume that the inaccessible part of the boundary is part of a hyperplane. We improve the identifiability result obtained by Krupchyk et al (2012 Commun. Math. 313 87–126) and also derive the corresponding stability estimates. We obtain -estimates for magnetic and electric potentials.