Open Access
VOL. 44 | 2006 On Davies' conjecture and strong ratio limit properties for the heat kernel
Chapter Author(s) Yehuda Pinchover
Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki
Adv. Stud. Pure Math., 2006: 339-352 (2006) DOI: 10.2969/aspm/04410339

Abstract

We study strong ratio limit properties and the exact long time asymptotics of the heat kernel of a general second-order parabolic operator which is defined on a noncompact Riemannian manifold.

Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

zbMATH: 1116.58027
MathSciNet: MR2279767

Digital Object Identifier: 10.2969/aspm/04410339

Subjects:
Primary: 35K10
Secondary: 35B40 , 58J35 , 60J60

Keywords: heat kernel , ratio limit theorem , recurrence

Rights: Copyright © 2006 Mathematical Society of Japan

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