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

Mikhail Isaev (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

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.

Domaines: Equations aux dérivées partielles [math.AP]

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⟩