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

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

2010-01-31

arxiv.org/abs/1002.0153v3

Inverse Problems 27, 1 (2011) 015001 (21pp)

Mathematics

Analysis of PDEs

Scientific paper

10.1088/0266-5611/27/1/015001

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].

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