Lipschitz stability in determining density and two Lame coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:329

Article

Bellassoued, Mourad ; Yamamoto, Masahiro

关键词: Carleman estimate;    Lame system;    inverse problem;   

DOI  :  10.1016/j.jmaa.2006.06.094

来源: Elsevier

【 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.

【 授权许可】

Free