On the Spectrum of the Dirichlet Laplacian in a Narrow Strip

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

2007-05-28

arxiv.org/abs/0705.4058v1

Mathematics

Spectral Theory

17 pages

Scientific paper

We derive a two-terms asymptotics for eigenvalues of the Dirichlet Laplacian
in a narrow strip of variable width. The asymptotics is taken with respect to a
small paprameter that characterizes the width of the strip.

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