Singularly perturbed Dirichlet boundary-value problem for a stationary system in the linear elasticity theory

被引：0

作者：

D. B. Davletov

机构：

[1] Bashkir State University of Liberal Arts,

来源：

Russian Mathematics | 2008年 / 52卷 / 12期

关键词：

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

D O I：

10.3103/S1066369X08120025

中图分类号：

学科分类号：

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 ɛ which defines the diameter of the small cavity tends to zero.

引用

页码：4 / 12

页数：8

共 6 条

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