A global stability estimate for the Gel'fand-Calderon inverse problem in two dimensions

Roman Novikov (1) , Matteo Santacesaria (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We prove a global logarithmic stability estimate for the Gel'fand-Calderon inverse problem on a two-dimensional domain.

Mots clés: Gel'fand-Calderon inverse problem; global stability in 2D

Domaines: Equations aux dérivées partielles [math.AP]

Roman Novikov, Matteo Santacesaria. A global stability estimate for the Gel'fand-Calderon inverse problem in two dimensions. J. Inv. Ill-Posed Problems, 2010, 18, pp.765-785. ⟨10.1515/JIIP.2011.003⟩. ⟨hal-00512221v4⟩