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On the spectral asymptotics in domains with long boundary

Leonid Friedlander

Abstract

I discuss a simple toy problem for the Dirichlet Laplacian in a sequence of domains where the contribution of the boundary to the spectral asymptotics is of the same order as the contribution from the interior

On the spectral asymptotics in domains with long boundary

Abstract

I discuss a simple toy problem for the Dirichlet Laplacian in a sequence of domains where the contribution of the boundary to the spectral asymptotics is of the same order as the contribution from the interior
Paper Structure (1 theorem, 28 equations)

This paper contains 1 theorem, 28 equations.

Key Result

Theorem 1

One has where Here $[\cdot]$ is the floor of a number.

Theorems & Definitions (1)

  • Theorem 1