Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions
Abstract
We prove new global H\"older-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.
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