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：

暂无

中图分类号：

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.

引用

页码：2776 / 2842

页数：66

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