Instability in the Gel'fand inverse problem at high energies

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We give an instability estimate for the Gel'fand inverse boundary value problem at high energies. Our instability estimate shows an optimality of several important preceding stability results on inverse problems of such a type.

Original languageEnglish
Pages (from-to)2262-2274
Number of pages13
JournalApplicable Analysis
Issue number11
Publication statusPublished - Nov 2013
Externally publishedYes


  • Dirichlet-to-Neumann map
  • inverse boundary value problems
  • stability estimates

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