New global stability estimates for the Gel'fand-Calderon inverse problem

Roman Novikov (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We prove new global stability estimates for the Gel'fand-Calderon inverse problem in 3D. For sufficiently regular potentials this result of the present work is a principal improvement of the result of [G. Alessandrini, Stable determination of conductivity by boundary measurements, Appl. Anal. 27 (1988), 153-172].

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Roman Novikov. New global stability estimates for the Gel'fand-Calderon inverse problem. Inverse Problems, 2011, 27 (1), 015001 (21pp). ⟨10.1088/0266-5611/27/1/015001⟩. ⟨hal-00451821v3⟩