An effectivization of the global reconstruction in the Gel'fand-Calderon inverse problem in three dimensions

Roman Novikov (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

By developing the d-bar approach to global "inverse scattering" at zero energy we give a principal effectivization of the global reconstruction method for the Gel'fand-Calderon inverse boundary value problem in three dimensions. This work goes back to results published by the author in 1987, 1988 and proceeds from recent progress in the d-bar approach to inverse scattering in 3D published by the author in 2005, 2006.

Mots clés: global reconstruction; Gel'fand-Calderon inverse problem; d-bar approach

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

Roman Novikov. An effectivization of the global reconstruction in the Gel'fand-Calderon inverse problem in three dimensions. Contemporary mathematics, 2009, 494, pp.161-184. ⟨hal-00331867⟩