Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non-flat interfaces
Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non-flat interfaces
复制标题
Lipschitz 分段常数 Lamé 系数与边界数据的连续依赖性：非平坦界面的情况
DOI：
10.1088/0266-5611/30/12/125005
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发表时间：
2014
期刊：
影响因子：
2.1
通讯作者：
S. Vessella
中科院分区：
文献类型：
--
作者：
E. Beretta;E. Francini;A. Morassi;Edi Rosset;S. Vessella
我们考虑了确定分段常数弹性张量C = ∑ j C j D j？，其中{ D j }？>是体Ω的一个已知的有限划分，来自Dirichlet-to-Neumann映射。我们证明了Lipschitz稳定性估计在C1，？>界面上的规则性假设。
We consider the inverse problem of determining the Lamé moduli for a piecewise constant elasticity tensor C = ∑ j C j &khgr; D j ?> , where { D j } ?> is a known finite partition of the body Ω, from the Dirichlet-to-Neumann map. We prove that Lipschitz stability estimates can be derived under C 1 , &agr; ?> regularity assumptions on the interfaces.