Conditional stability estimation for an inverse boundary problem with non-smooth boundary in R3

被引：25

作者：

Cheng, J ^{[1
]}

Hon, YC

Yamamoto, M

机构：

[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

[2] Gunma Univ, Fac Engn, Dept Math, Kiryu, Gumma 3768515, Japan

[3] Univ Tokyo, Dept Math Sci, Tokyo 1538914, Japan

[4] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 353卷 / 10期

关键词：

determination of unknown boundary; conditional stability estimation; non-smooth boundary;

D O I：

10.1090/S0002-9947-01-02758-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate an inverse problem of determining a shape of a part of the boundary of a bounded domain in R-3 by a solution to a Cauchy problem of the Laplace equation. Assuming that the unknown part is a Lipschitz continuous surface, we give a logarithmic conditional stability estimate in determining the part of boundary under reasonably a priori information of an unknown part. The keys are the complex extension and estimates for a harmonic measure.

引用

页码：4123 / 4138

页数：16

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