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

✍ Scribed by Amirat, Youcef; Chechkin, Gregory A.; Gadyl'shin, Rustem R.


Book ID
121375567
Publisher
Taylor and Francis Group
Year
2007
Tongue
English
Weight
315 KB
Volume
86
Category
Article
ISSN
0003-6811

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Asymptotic approximation of eigenelement
✍ Youcef Amirat; Gregory A. Chechkin; Rustem R. Gadyl'shin πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 383 KB

## Abstract We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in a two‐dimensional bounded domain with thin shoots, depending on a small parameter Ξ΅. Under the assumption that the width of the shoots goes to zero, as Ξ΅ tends to zero, we construct the l

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