ORCID: https://orcid.org/0000-0001-7973-4688 and Larson, Simon
(2020):
On the error in the two-term Weyl formula for the Dirichlet Laplacian.
In: Journal of Mathematical Physics, Vol. 61, No. 4
Abstract
We study the optimality of the remainder term in the two-term Weyl law for the Dirichlet Laplacian within the class of Lipschitz regular subsets of Rd. In particular, for the short-time asymptotics of the trace of the heat kernel, we prove that the error term cannot be made quantitatively better than little-o of the second term.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 0022-2488 |
Language: | English |
Item ID: | 88945 |
Date Deposited: | 25. Jan 2022, 09:28 |
Last Modified: | 13. Aug 2024, 12:44 |