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 50 条

[11] Stability of the inverse conductivity problem in the plane for less regular conductivities
Barceló, JA
Barceló, T
Ruiz, A
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 173 (02) : 231 - 270
[12] Uniqueness in the inverse conductivity problem for conductivities with 3/2 derivatives in Lp, p>2n
Brown, RM
Torres, RH
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2003, 9 (06) : 563 - 574
[13] LOCAL UNIQUENESS IN THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT
ALESSANDRINI, G
ISAKOV, V
POWELL, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (08) : 3031 - 3041
[14] Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities
Alessandrini, Giovanni
de Hoop, Maarten V.
Gaburro, Romina
INVERSE PROBLEMS, 2017, 33 (12)
[15] Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities
Gaburro, Romina
Sincich, Eva
INVERSE PROBLEMS, 2015, 31 (01)
[16] STABILITY OF CALDERON'S INVERSE CONDUCTIVITY PROBLEM IN THE PLANE FOR DISCONTINUOUS CONDUCTIVITIES
Clop, Albert
Faraco, Daniel
Ruiz, Alberto
INVERSE PROBLEMS AND IMAGING, 2010, 4 (01) : 49 - 91
[17] THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT - UNIQUENESS FOR CONVEX POLYHEDRA
BARCELO, B
FABES, E
SEO, JK
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (01) : 183 - 189
[18] COUNTEREXAMPLES TO UNIQUENESS IN THE INVERSE FRACTIONAL CONDUCTIVITY PROBLEM WITH PARTIAL DATA
Railo, Jesse
Zimmermann, Philipp
INVERSE PROBLEMS AND IMAGING, 2023, 17 (02) : 406 - 418
[19] The inverse conductivity problem with an imperfectly known boundary in three dimensions
Kolehmainen, Ville
Lassas, Matti
Ola, Petri
SIAM JOURNAL ON APPLIED MATHEMATICS, 2007, 67 (05) : 1440 - 1452
[20] The Two-Dimensional Inverse Conductivity Problem
Michel, Vincent
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (03) : 2776 - 2842

← 1 2 3 4 5 →