Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions

被引：184

作者：

Brown, RM ^{[1
]}

Uhlmann, GA ^{[1
]}

机构：

[1] UNIV WASHINGTON,DEPT MATH,SEATTLE,WA 98195

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1997年 / 22卷 / 5-6期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1080/03605309708821292

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

[No abstract available]

引用

页码：1009 / 1027

页数：19

共 20 条

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

ALESSANDRINI, G .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1990, 84 (02) :252-272

[2]

BEALS R, 1985, P SYMP PURE MATH, V43, P45

[3]

BEALS R, 1988, NONLINEAR EVOLUTION, P15

[4] Global uniqueness in the impedance-imaging problem for less regular conductivities [J].

Brown, RM .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (04) :1049-1056

[5]

BROWN RM, 1996, RECOVERING CONDUCTIV

[6]

CHANILLO S, 1990, P AM MATH SOC, P761

[7]

Gilbar D., 1983, ELLIPTIC PARTIAL DIF

[8] ON UNIQUENESS OF RECOVERY OF A DISCONTINUOUS CONDUCTIVITY COEFFICIENT [J].

ISAKOV, V .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :865-877

[9] DETERMINING CONDUCTIVITY BY BOUNDARY MEASUREMENTS .2. INTERIOR RESULTS [J].

KOHN, RV ;

VOGELIUS, M .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (05) :643-667

[10] AN N-DIMENSIONAL BORG-LEVINSON THEOREM [J].

NACHMAN, A ;

SYLVESTER, J ;

UHLMANN, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (04) :595-605

← 1 2 →