On the Spectrum of the Dirichlet Laplacian in a Narrow Strip

Abstract

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.

17 pages

Cited by in corpus (2)

• Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in R^d
• Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions