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

@article{Frank2019TwotermSA,
title={Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain},
author={Rupert L. Frank and Simon Larson},
journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
year={2019},
volume={2020},
pages={195 - 228}
}
• Published 28 January 2019
• Mathematics
• Journal für die reine und angewandte Mathematik (Crelles Journal)
Abstract We prove a two-term Weyl-type asymptotic formula for sums of eigenvalues of the Dirichlet Laplacian in a bounded open set with Lipschitz boundary. Moreover, in the case of a convex domain we obtain a universal bound which correctly reproduces the first two terms in the asymptotics.

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