Energy- and regularity-dependent stability estimates for near-field inverse scattering in multidimensions

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Abstract

We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension d ≥ 3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. In addition, a global logarithmic stability estimate for this inverse problem in dimension d = 2 is also given.

Original languageEnglish
Article number318154
Number of pages10
JournalJournal of Mathematics
Volume2013
DOIs
Publication statusPublished - 2013
Externally publishedYes

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