UNIQUENESS IN CALDERON'S PROBLEM WITH LIPSCHITZ CONDUCTIVITIES

被引：94

作者：

Haberman, Boaz ^{[1
]}

Tataru, Daniel ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2013年 / 162卷 / 03期

基金：

美国国家科学基金会;

关键词：

GLOBAL UNIQUENESS; THEOREM;

D O I：

10.1215/00127094-2019591

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use X-s,X-b-inspired spaces to prove a uniqueness result for Calderon's problem in a Lipschitz domain Omega under the assumption that the conductivity lies in the space W-1,W-infinity ((Omega) over bar). For Lipschitz conductivities, we obtain uniqueness for conductivities close to the identity in a suitable sense. We also prove uniqueness for arbitrary C-1 conductivities.

引用

页码：497 / 516

页数：20

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