# 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} }

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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