Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain

DOI10.1515/crelle-2019-0019zbMath1467.35107arXiv1901.09771OpenAlexW2914168643WikidataQ127374097 ScholiaQ127374097MaRDI QIDQ2195139

Simon Larson, Rupert L. Frank

Publication date: 7 September 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09771

zbMATH Keywords

spectral asymptoticsDirichlet LaplacianWeyl's law

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ Semiclassical estimates for eigenvalue means of Laplacians on spheres ⋮ On the error in the two-term Weyl formula for the Dirichlet Laplacian ⋮ Two consequences of Davies' Hardy inequality ⋮ Semiclassical bounds for spectra of biharmonic operators ⋮ Semiclassical asymptotics for a class of singular Schrödinger operators ⋮ Erratum to: ``Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains ⋮ Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains ⋮ On the spectral asymptotics for the buckling problem

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