GLOBAL UNIQUENESS FOR THE CALDERON PROBLEM WITH LIPSCHITZ CONDUCTIVITIES

被引：61

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

[21] AN N-DIMENSIONAL BORG-LEVINSON THEOREM
NACHMAN, A
SYLVESTER, J
UHLMANN, G
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (04) : 595 - 605
[22] Päivärinta L, 2003, REV MAT IBEROAM, V19, P57
[23] Stein E. M., 1970, Singular Integrals and Differentiability Properties of Functions, V30
[24] A UNIQUENESS THEOREM FOR AN INVERSE BOUNDARY-VALUE PROBLEM IN ELECTRICAL PROSPECTION
SYLVESTER, J
UHLMANN, G
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (01) : 91 - 112
[25] INVERSE BOUNDARY-VALUE PROBLEMS AT THE BOUNDARY - CONTINUOUS DEPENDENCE
SYLVESTER, J
UHLMANN, G
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (02) : 197 - 219
[26] A GLOBAL UNIQUENESS THEOREM FOR AN INVERSE BOUNDARY-VALUE PROBLEM
SYLVESTER, J
UHLMANN, G
[J]. ANNALS OF MATHEMATICS, 1987, 125 (01) : 153 - 169
[27] The X(0)(5) spaces and unique continuation for solutions to the semilinear wave equation
Tataru, D
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1996, 21 (5-6) : 841 - 887
[28] RECENT WORK ON SHARP ESTIMATES IN 2ND-ORDER ELLIPTIC UNIQUE CONTINUATION PROBLEMS
WOLFF, TH
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 1993, 3 (06) : 621 - 650

← 1 2 3 →