Global heat kernel estimates

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45 Scopus citations

Abstract

In this paper, by first deriving a global version of gradient estimates, we obtain both upper and lower bound estimates for the heat kernel satisfying Neumann boundary conditions on a compact Riemannian manifold with nonconvex boundary.

Original languageEnglish (US)
Pages (from-to)377-398
Number of pages22
JournalPacific Journal of Mathematics
Volume178
Issue number2
DOIs
StatePublished - Apr 1997

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