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

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

2008-10-20

arxiv.org/abs/0810.3485v1

Contemporary Mathematics 494 (2009) 161-184

Mathematics

Analysis of PDEs

Scientific paper

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.

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