Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions
classification
🧮 math.AP
keywords
stabilityestimatesinversecoefficientdimensionenergygivenglobal
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We prove new global H\"older-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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