Lipschitz stability in determining density and two Lame coefficients

被引：28

作者：

Bellassoued, Mourad ^{[1
]}

Yamamoto, Masahiro

机构：

[1] Fac Sci Bizerte, Dept Math, Jarzouna Bizerte 7021, Tunisia

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 329卷 / 02期

基金：

日本学术振兴会;

关键词：

Carleman estimate; Lame system; inverse problem;

D O I：

10.1016/j.jmaa.2006.06.094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an inverse problem of determining spatially varying density and two Lame coefficients in a non-stationary isotropic elastic equation by a single measurement of data on the whole lateral boundary. We prove the Lipschitz stability provided that initial data are suitably chosen. The proof is based on a Carleman estimate which can be obtained by the decomposition of the Lame system into the rotation and the divergence components. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1240 / 1259

页数：20

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