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arXiv · 1211.4154

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

Mikhail Isaev
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Abstract

We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension $d\geq 3$. 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.

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Mikhail Isaev. 2012-11-17. Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions. https://doi.org/10.1155/2013%2F318154

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