The Two-Dimensional Inverse Conductivity Problem

被引：0
|
作者：
Vincent Michel
机构：
[1] Sorbonne Université,
来源：
The Journal of Geometric Analysis | 2020年 / 30卷
关键词：
Riemann surface; Dirichlet-to-Neumann problem; Green function; Conductivity; Shock wave; Embedding; Primary 32c25; 32d15; 32v15; 35r30; 58j32; Secondary 35r30;
D O I：
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学科分类号：
摘要：
In this article, we introduce a process to reconstruct a Riemann surface with boundary equipped with a linked conductivity tensor from its boundary and the Dirichlet–Neumann operator associated with this conductivity. When initial data come from a two- dimensional real Riemannian surface equipped with a conductivity tensor, this process recovers its conductivity structure.
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页码：2776 / 2842
页数：66
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