Singularly Perturbed Dirichlet Boundary-Value Problem for a Stationary System in the Linear Elasticity Theory

被引：0

作者：

Davletov, D. B. ^{[1
]}

机构：

[1] Bashkir State Univ Liberal Arts, Ul Oktyabrskoi Revolutsii 3a, Ufa 450000, Russia

来源：

RUSSIAN MATHEMATICS | 2008年 / 52卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

operator; boundary-value problem; singular perturbation; eigenelements;

D O I：

10.3103/S1066369X08120025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a singularly perturbed Dirichlet boundary-value problem for an elliptic operator of the linear elasticity theory in a bounded domain with a small cavity. The main result is the proof of the theorem about the convergence of eigenelements of the perturbed boundary-value problem to eigenelements of the corresponding limiting boundary-value problem, when the parameter epsilon which defines the diameter of the small cavity tends to zero.

引用

页码：4 / 12

页数：9