Abstract
We establish the existence of an asymptotic expansion as t ⤒0+for the trace of the heat kernel for the Neumann Laplacian in a bounded Lipschitz domain. The proof of an asymptotic expansion for the heat kernel for the Dirichlet Laplacian is also sketched. The treatment of the Dirichlet Laplacian extends work of Brossard and Carmona who obtained the same result in C1-domains.
Original language | English |
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Pages (from-to) | 889-900 |
Number of pages | 12 |
Journal | Transactions of the American Mathematical Society |
Volume | 339 |
Issue number | 2 |
DOIs | |
State | Published - Oct 1993 |
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics