An inverse problem and an observability inequality for the Lamé system with stress boundary condition
An inverse problem and an observability inequality for the Lamé system with stress boundary condition
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DOI：
10.1080/00036810802556779
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发表时间：
2009-05
影响因子：
1.1
通讯作者：
O. Imanuvilov;Masahiro Yamamoto
中科院分区：
文献类型：
--
作者：
O. Imanuvilov;Masahiro Yamamoto
本文通过对具有应力边界条件的二维非定常Lamé系统解的Carleman估计，得到了确定密度的条件稳定性估计和在适当子边界的邻域内因一次观测而空间变化的两个Lamé系数.此外，我们还证明了在同一子域中测量的数据的一个可观测性不等式。
In this article, by a Carleman estimate for solutions of the two-dimensional non-stationary Lamé system with the stress boundary condition, we obtain the conditional stability estimate in determining the density and two Lamé coefficients which vary spatially by a single observation in a neighbourhood of a suitable subboundary. Moreover, we prove an observability inequality with data measured in the same subdomain.