Published September 2020
| Version Submitted
Journal Article
Open
Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
Creators
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1.
Ludwig-Maximilians-Universität München
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2.
California Institute of Technology
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3.
Royal Institute of Technology
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.
Additional Information
© 2020 Walter de Gruyter GmbH, Berlin/Boston. Received: 2019-02-26; Revised: 2019-05-12; Published Online: 2019-08-15. U.S. National Science Foundation grant DMS-1363432 (R.L.F.) and Swedish Research Council grant no. 2012-3864 (S.L.) is acknowledged.Attached Files
Submitted - 1901.09771.pdf
Files
1901.09771.pdf
Additional details
Identifiers
- Eprint ID
- 95606
- Resolver ID
- CaltechAUTHORS:20190520-133710218
Related works
- Describes
- https://arxiv.org/abs/1901.09771 (URL)
Funding
- NSF
- DMS-1363432
- Swedish Research Council
- 2012-3864
Dates
- Created
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2019-05-20Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department