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

Abstract

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.

References in corpus (2)

• Formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential
• On non-overdetermined inverse scattering at zero energy in three dimensions

Cited by in corpus (1)

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