arXiv:math/0612764 Abstract

arXiv:math/0612764 [math.AP]Abstract References Reviews Resources

Asymptotics of Eigenvalues and Eigenfunctions for the Laplace Operator in a Domain with Oscillating Boundary. Multiple Eigenvalue Case

Youcef Amirat, Gregory A. Chechkin, Rustem R. Gadyl'shin

Published 2006-12-26Version 1

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.

DOI: 10.1134/S0965542506010118

Categories: math.AP

Subjects: 35J25, 35B40

Keywords: multiple eigenvalue case, laplace operator, eigenfunctions, asymptotic behavior, asymptotic expansions

Tags: journal article

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