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

Abstract

We prove new global Hölder-logarithmic stability estimates for the near-field inverse scattering problem in dimension $d\ge 3$. 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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Cited by in corpus (1)

• Hölder-logarithmic stability in Fourier synthesis