ON THE SPECTRUM OF THE DIRICHLET LAPLACIAN IN A NARROW STRIP, by Leonid Friedlander and Michael Solomyak

Abstract

There are several reasons why the study of the spectrum of the Laplacian in a narrow neighborhood of an embedded graph is interesting. The graph can be embedded into a Euclidean space or it can be embedded into a manifold. In his pioneering work [3], Colin de Verdière used Riemannian metrics concentrated in a small neighborhood of a graph to prove that for… (More)

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