Open Access
VOL. 44 | 2006 On Davies' conjecture and strong ratio limit properties for the heat kernel
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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