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Zbl 1210.35052
Amirat, Youcef; Chechkin, Gregory A.; Gadyl'shin, Rustem R.
Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues. (English)
[J] Appl. Anal. 86, No. 7, 873-897 (2007). ISSN 0003-6811; ISSN 1563-504X/e

Summary: 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.

MSC 2000:: *35J25 Second order elliptic equations, boundary value problems
35B40 Asymptotic behavior of solutions of PDE

Keywords: spectral problems; oscillating boundary; asymptotic expansions

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