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
收藏
页码：297 / 318
页数：22
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