On some strong ratio limit theorems for heat kernels

Martin Fraas; David Krejčiřík; Yehuda Pinchover

doi:10.3934/dcds.2010.28.495

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2010, Volume 28, Issue 2: 495-509. Doi: 10.3934/dcds.2010.28.495 open access

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On some strong ratio limit theorems for heat kernels

1.
Department of Physics, Technion - Israel Institute of Technology, Haifa
2.
Department of Theoretical Physics, Nuclear Physics Institute, Academy of Sciences, 25068 Řež
3.
Department of Mathematics, Technion - Israel Institute of Technology, Haifa

Received: November 30, 2009

Revised: March 31, 2010

Published: June 2010

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Abstract

We study strong ratio limit properties of the quotients of the heat kernelsof subcritical and critical operators which are defined on a noncompact Riemannian manifold.

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Mathematics Subject Classification: Primary: 35K08; Secondary: 35B09, 58J35, 60J60.

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