Published September 2020
| Submitted
Journal Article
Open
Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
- Creators
-
Frank, Rupert L.
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Larson, Simon
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
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1901.09771.pdf
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Additional details
- Eprint ID
- 95606
- Resolver ID
- CaltechAUTHORS:20190520-133710218
- DMS-1363432
- NSF
- 2012-3864
- Swedish Research Council
- 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