论文标题

Lipschitz稳定地测定从迪里奇到诺伊曼图

Lipschitz stable determination of polygonal conductivity inclusions in a layered medium from the Dirichlet to Neumann map

论文作者

Beretta, Elena, Francini, Elisa, Vessella, Sergio

论文摘要

使用Dirichlet的Gateaux衍生物的分布式表示公式,将其用于多边形电导率包容性的运动[11],我们扩展了[8]在[8]中获得的结果,证明了确定嵌入多边形的媒介中的多边形电导率,从而证明了全球lipschitz稳定性,该稳定性嵌入了多边形的媒介中。

Using a distributed representation formula of the Gateaux derivative of the Dirichlet to Neumann map with respect to movements of a polygonal conductivity inclusion, [11], we extend the results obtained in [8] proving global Lipschitz stability for the determination of a polygonal conductivity inclusion embedded in a layered medium from knowledge of the Dirichlet to Neumann map.

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