Effectivized Hölder-logarithmic stability estimates for the Gel'fand inverse problem

M. I. Isaev, R. G. Novikov

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4 Citations (Scopus)

Abstract

We give effectivized Hölder-logarithmic energy and regularity dependent stability estimates for the Gelfand inverse boundary value problem in dimension d = 3. This effectivization includes explicit dependance of the estimates on coefficient norms and related parameters. Our new estimates are given in L2 and L norms for the coefficient difference and related stability efficiently increases with increasing energy and/or coefficient difference regularity. Comparisons with preceeding results are given.

Original languageEnglish
Article number095006
Pages (from-to)1-18
Number of pages18
JournalInverse Problems
Volume30
Issue number9
DOIs
Publication statusPublished - 1 Sep 2014
Externally publishedYes

Keywords

  • Gel'fand inverse problem
  • Hölder-logarithmic stability
  • Schrödinger equation

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