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VOL. 57 | 2010 The heat kernel and its estimates
Laurent Saloff-Coste

Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai

Abstract

After a short survey of some of the reasons that make the heat kernel an important object of study, we review a number of basic heat kernel estimates. We then describe recent results concerning (a) the heat kernel on certain manifolds with ends, and (b) the heat kernel with the Neumann or Dirichlet boundary condition in inner uniform Euclidean domains.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1201.58025
MathSciNet: MR2648271

Digital Object Identifier: 10.2969/aspm/05710405

Subjects:
Primary: 35K05, 58J65, 60J65

Rights: Copyright © 2010 Mathematical Society of Japan

PROCEEDINGS ARTICLE
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