The trace of the heat kernel in lipschitz domains

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13 Scopus citations

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 languageEnglish
Pages (from-to)889-900
Number of pages12
JournalTransactions of the American Mathematical Society
Volume339
Issue number2
DOIs
StatePublished - Oct 1993

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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