Uniqueness and stability for the inverse medium problem with internal data

Faouzi Triki (1)

1 EDP - Equations aux Dérivées Partielles

In this paper we study the inverse medium problem with internal data. We show that knowledge of one real internal data uniquely determines the medium. A local Lipschitz stability of the reconstruction is also derived.

Domaines: Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

Faouzi Triki. Uniqueness and stability for the inverse medium problem with internal data. Inverse Problems, 2010, 26 (9), pp.095014:1-11. ⟨10.1088/0266-5611/26/9/095014⟩. ⟨hal-00748034⟩