Optimal size estimates for the inverse conductivity problem with one measurement

被引：59

作者：

Alessandrini, G ^{[1
]}

Rosset, E

Seo, JK

机构：

[1] Univ Trieste, Dipartimento Sci Matemat, I-34100 Trieste, Italy

[2] Yonsei Univ, Dept Math, Seoul 120749, South Korea

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 01期

关键词：

inverse conductivity problem; size estimates; Muckenhoupt weights;

D O I：

10.1090/S0002-9939-99-05474-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove upper and lower estimates on the measure of an inclusion D in a conductor Omega in terms of one pair of current and potential boundary measurements. The growth rates of such estimates are essentially best possible.

引用

页码：53 / 64

页数：12

共 21 条

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