Carleman estimates for the non-stationary Lamé system and the application to an inverse problem
Carleman estimates for the non-stationary Lamé system and the application to an inverse problem
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DOI：
10.1051/cocv:2004030
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
O. Imanuvilov;Masahiro Yamamoto
中科院分区：
文献类型：
--
作者：
O. Imanuvilov;Masahiro Yamamoto
本文建立了二维各向同性非定常Lame系统在零Dirichlet边界条件下的Carleman估计。利用这一估计，我们证明了在（0，T）x ω上通过解的一次测量确定空间变化密度和两个Lame系数的唯一性和稳定性，其中T > 0是一个充分大的时间间隔，且子域ω满足非捕获条件.
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 ω, where T > 0 is a sufficiently large time interval and a subdomain ω satisfies a non-trapping condition.