On Davies' conjecture and strong ratio limit properties for the heat kernel

2005/04/17 by Yehuda Pinchover, Pinchover, Yehuda
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities #math.AP #math.PR #msc:35B40 #msc:35K10 #msc:58J35 #msc:60J60

paper · pdf · doi:10.48550/arxiv.math/0504344

11 pages

arxiv created 2005/04/17 · arxiv updated 2009/12/01

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.

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