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arxiv: 0705.4058 · v1 · submitted 2007-05-28 · 🧮 math.SP

On the Spectrum of the Dirichlet Laplacian in a Narrow Strip

classification 🧮 math.SP
keywords stripasymptoticsdirichletlaplaciannarrowwidthcharacterizesderive
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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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