Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues

被引：20

作者：

Amirat, Youcef

Chechkin, Gregory A. ^{[1
]}

Gadyl'shin, Rustem R.

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Mathemat, Dept Differential Equat, Moscow 119992, Russia

[2] Univ Clermont Ferrand, CNRS, UMR 6620, Math Lab, F-63177 Clermont Ferrand, France

[3] Narvik Univ Coll, N-8505 Narvik, Norway

[4] Bashkir State Pedagog Univ, Fac Math & Phys, Dept Math Anal, Ufa 450000, Russia

来源：

APPLICABLE ANALYSIS | 2007年 / 86卷 / 07期

关键词：

spectral problems; oscillating boundary; asymptotic expansions;

D O I：

10.1080/00036810701461238

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue of the limit problem is multiple. We construct the leading terms of the asymptotic expansions for the eigenelements and verify the asymptotics.

引用

页码：873 / 897

页数：25

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