Stability estimates for recovering the potential by the impedance boundary map

M. I. Isaev, R. G. Novikov

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Abstract

The impedance boundary map (or Robin-to-Robin map) is studied for the Schrödinger equation in an open bounded domain for fixed energy in the multidimensional case. Global stability estimates are given for recovering the potential by these boundary data and, as a corollary, by the Cauchy data set. In particular, the results include an extension of the Alessandrini identity to the case of the impedance boundary map.

Original languageEnglish
Pages (from-to)23-41
Number of pages19
JournalSt. Petersburg Mathematical Journal
Volume25
Issue number1
DOIs
Publication statusPublished - 2014
Externally publishedYes

Keywords

  • Impedance boundary map
  • Inverse boundary value problems
  • Stability estimate

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