Stability estimates for a Magnetic Schrodinger operator with partial data

Abstract

In this paper we study local stability estimates for a magnetic Schrödinger operator with partial data on an open bounded set in dimension $n\ge 3$. This is the corresponding stability estimates for the identifiability result obtained by Bukgheim and Uhlmann $[2]$ in the presence of magnetic field and when the measurements for the Dirichlet-Neumann map are taken on a neighborhood of the illuminated region of the boundary for functions supported on a neighborhood of the shadow region. We obtain $\log$-type estimates.

35 pages

Cited by in corpus (2)

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