GLOBAL UNIQUENESS FOR THE CALDERON PROBLEM WITH LIPSCHITZ CONDUCTIVITIES

被引：62

作者：

Caro, Pedro ^{[1
,2
]}

Rogers, Keith M. ^{[3
]}

机构：

[1] BCAM, Bilbao 48009, Spain

[2] Basque Fdn Sci, Ikerbasque, Bilbao 48011, Spain

[3] CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid 28049, Spain

来源：

FORUM OF MATHEMATICS PI | 2016年 / 4卷

基金：

欧盟地平线“2020”;

关键词：

BOUNDARY; CONTINUATION; OPERATOR; THEOREM;

D O I：

10.1017/fmp.2015.9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniqueness for the Calderon problem with Lipschitz conductivities in higher dimensions. Combined with the recent work of Haberman, who treated the three-and four-dimensional cases, this confirms a conjecture of Uhlmann. Our proof builds on the work of Sylvester and Uhlmann, Brown, and Haberman and Tataru who proved uniqueness for C-1-conductivities and Lipschitz conductivities sufficiently close to the identity.

引用

页码：1 / 28

页数：28

共 28 条

[1] SINGULAR SOLUTIONS OF ELLIPTIC-EQUATIONS AND THE DETERMINATION OF CONDUCTIVITY BY BOUNDARY MEASUREMENTS [J].