APPROXIMATION OF THE ELASTIC DIRICHLET-TO-NEUMANN MAP

被引：1

作者：

Vodev, Georgi ^{[1
]}

机构：

[1] Univ Nantes, Lab Math Jean Leray, 2 Rue Houssiniere,BP 92208, F-44322 Nantes 03, France

来源：

INVERSE PROBLEMS AND IMAGING | 2023年 / 17卷 / 01期

关键词：

Linear equation of elasticity; Dirichlet-to-Neumann map; LINEAR ELASTICITY; RESONANCES;

D O I：

10.3934/ipi.2022042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Dirichlet-to-Neumann map for the stationary linear equation of elasticity in a bounded domain in R-d, d >= 2, with smooth boundary. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol modulo conjugation by unitary matrices.

引用

页码：297 / 318

页数：22

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