Uniqueness in Caldern's Problem for Conductivities with Unbounded Gradient

被引：48

作者：

Haberman, Boaz ^{[1
]}

机构：

[1] Univ Chicago, Chicago, IL 60637 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2015年 / 340卷 / 02期

基金：

美国国家科学基金会;

关键词：

ELLIPTIC-EQUATIONS; LIPSCHITZ CONDUCTIVITIES; BOUNDARY MEASUREMENTS; GLOBAL UNIQUENESS; INVERSE PROBLEMS; CONTINUATION; THEOREM; COEFFICIENTS; OPERATORS; SPACES;

D O I：

10.1007/s00220-015-2460-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove uniqueness in the inverse conductivity problem for uniformly elliptic conductivities in , where is Lipschitz, , and s and p are such that . In particular, we obtain uniqueness for conductivities in (n = 3, 4). This improves on the result of the author and Tataru, who assumed that the conductivity is Lipschitz.

引用

页码：639 / 659

页数：21

共 33 条

[1]

Alberto C., 1980, COMPUT APPL MATH, V25, P133

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