On the Spectrum of the Dirichlet Laplacian in a Narrow Strip, II

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We consider the Dirichlet Laplacian in a family of narrow unbounded domains. As the width of these domains goes to 0, we study the asymptotic behavior of the eigenvalues that lie below the essential spectrum and the asymptotic behavior of the corresponding eigenfunctions.
17 pages

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Spectral Theory, 35P15

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http://salesiana.dossiersoluciones.com/handle/123456789/139713

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.1886
 http://arxiv.org/abs/0710.1886

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arXiv