论文标题

Lipschitz稳定确定局部边界测量的多面体电导率夹杂物

Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements

论文作者

Aspri, Andrea, Beretta, Elena, Francini, Elisa, Vessella, Sergio

论文摘要

我们考虑了从边界测量中确定嵌入均质各向同性培养基中的多面体电导率包容性的问题。我们证明了全球Lipschitz的稳定性,以高度非平凡的方式从局部的dirichlet到neumann地图进行多面体包含,在[18]和[19]中获得的结果在二维情况下获得的结果到三维环境。

We consider the problem of determining a polyhedral conductivity inclusion embedded in a homogeneous isotropic medium from boundary measurements. We prove global Lipschitz stability for the polyhedral inclusion from the local Dirichlet-to-Neumann map extending in a highly nontrivial way the results obtained in [18] and [19] in the two-dimensional case to the three-dimensional setting.

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