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

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

2007-10-09

arxiv.org/abs/0710.1886v1

Mathematics

Spectral Theory

17 pages

Scientific paper

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.

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