Carleman estimates for the non-stationary Lame system and the application to an inverse problem

被引：56

作者：

Imanuvilov, OY

Yamamoto, M

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

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

[3] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2005年 / 11卷 / 01期

关键词：

Carleman estimate; Lam'e system; inverse problem;

D O I：

10.1051/cocv:2004030

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we establish Carleman estimates for the two dimensional isotropic non-stationary Lame' system with the zero Dirichlet boundary conditions. Using this estimate, we prove the uniqueness and the stability in determining spatially varying density and two Lame' coefficients by a single measurement of solution over (0, T) x omega, where T > 0 is a sufficiently large time interval and a subdomain omega satisfies a non-trapping condition.

引用

页码：1 / 56

页数：56

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