Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy

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Abstract

We prove approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy with incomplete data in dimension . Our estimates are given in uniform norm for coefficient difference and related stability precision efficiently increases with increasing energy and coefficient difference regularity. In addition, our estimates are rather optimal even in the Born approximation.

Original languageEnglish
Pages (from-to)813-823
Number of pages11
JournalJournal of Inverse and Ill-Posed Problems
Volume21
Issue number6
DOIs
Publication statusPublished - 1 Dec 2013

Keywords

  • Approximate Lipschitz stability
  • monochromatic inverse scattering
  • non-overdetermined and incomplete data

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