The Weyl law for the Dirichlet Laplacian

Fuente: arXiv
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Autor principal: Contini, Alessandro Pietro
Formato: Preprint
Publicado: 2025
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author Contini, Alessandro Pietro
author_facet Contini, Alessandro Pietro
contents The purpose of this paper is to review the asymptotic distribution of eigenvalues of the Dirichlet Laplacian. We introduce and recall all the relevant spectral quantities and provide a proof based on the Fourier Tauberian Theorem.
format Preprint
id arxiv_https___arxiv_org_abs_2511_03584
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Weyl law for the Dirichlet Laplacian
Contini, Alessandro Pietro
Spectral Theory
Analysis of PDEs
58J50 (Primary) 35P20 (Secondary)
The purpose of this paper is to review the asymptotic distribution of eigenvalues of the Dirichlet Laplacian. We introduce and recall all the relevant spectral quantities and provide a proof based on the Fourier Tauberian Theorem.
title The Weyl law for the Dirichlet Laplacian
topic Spectral Theory
Analysis of PDEs
58J50 (Primary) 35P20 (Secondary)
url https://arxiv.org/abs/2511.03584