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

Author: Novikov R G  

Publisher: IOP Publishing

ISSN: 0266-5611

Source: Inverse Problems, Vol.27, Iss.1, 2011-01, pp. : 15001-15021

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Abstract

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 Alessandrini (1988 Appl. Anal. 27 153–172).