Asymptotics for eigenvalues of the Laplacian with a Neumann boundary condition on a thin cut-out tube

被引：4

作者：

Planida, MY ^{[1
]}

机构：

[1] Bashkir State Pedagog Univ, Ufa 450000, Russia

来源：

COMPTES RENDUS MECANIQUE | 2003年 / 331卷 / 08期

关键词：

vibrations; asymptotics; eigenvalue;

D O I：

10.1016/S1631-0721(03)00125-6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider the eigenvalue problem for the Laplace operator in a bounded three-dimensional domain where a thin tube is cut out. Imposing a Neumann boundary condition on the boundary of this tube, we construct asymptotics for eigenvalues on the small parameter that is a diameter of the tube. (C) 2003 Academie des sciences. Published by Editions scientifiques et medicales Elsevier SAS. All rights reserved.

引用

页码：531 / 536

页数：6

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