Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematics, Hindawi Publishing Corp. Année : 2013

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

Résumé

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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Dates et versions

hal-00752844 , version 1 (16-11-2012)

Identifiants

Citer

Mikhail Isaev. Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions. Journal of Mathematics, Hindawi Publishing Corp., 2013, pp.DOI:10.1155/2013/318154. ⟨10.1155/2013/318154⟩. ⟨hal-00752844⟩
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