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

被引：26

作者：

Novikov, R. G. ^{[1
]}

机构：

[1] Ecole Polytech, Ctr Math Appl, CNRS, UMR 7641, F-91128 Palaiseau, France

来源：

INVERSE PROBLEMS | 2011年 / 27卷 / 01期

关键词：

3; DIMENSIONS; BOUNDARY MEASUREMENTS; SCATTERING; EQUATION; CONDUCTIVITY; UNIQUENESS; ENERGY;

D O I：

10.1088/0266-5611/27/1/015001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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).

引用

页数：21

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