Asymptotics of simple eigenvalues and eigenfunctions for the Laplace operator in a domain with an oscillating boundary

被引：0

作者：

Amirat Y. ^{[1
]}

Chechkin G.A. ^{[2
]}

Gadyl'shin R.R. ^{[3
,4
]}

机构：

[1] Laboratoire de Mathématiques, CNRS UMR 6620, Université Blaise Pascal

[2] Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow State University, Moscow

[3] Institute of Mathematics (With Computing Center), Russian Academy of Sciences, Ufa

[4] Department of Mathematical Analysis, Faculty of Physics and Mathematics, Bashkir State Pedagogical University, Ufa

来源：

Computational Mathematics and Mathematical Physics | 2006年 / 46卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

Asymptotics; Matching of asymptotic expansions; Oscillating boundary; Spectrum of the Laplacian;

D O I：

10.1134/S0965542506010118

中图分类号：

学科分类号：

摘要：

The asymptotic behavior of solutions to spectral problems for the Laplace operator in a domain with a rapidly oscillating boundary is analyzed. The leading terms of the asymptotic expansions for eigenelements are constructed, and the asymptotics are substantiated for simple eigenvalues. © MAIK "Nauka/Interperiodica" (Russia), 2006.

引用

页码：97 / 110

页数：13

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