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June  2010, 28(2): 495-509. doi: 10.3934/dcds.2010.28.495

On some strong ratio limit theorems for heat kernels

Martin Fraas 1, , David Krejčiřík 2, and  Yehuda Pinchover 3,

1. 

Department of Physics, Technion - Israel Institute of Technology, Haifa, Israel
2. 

Department of Theoretical Physics, Nuclear Physics Institute, Academy of Sciences, 25068 Řež, Czech Republic
3. 

Department of Mathematics, Technion - Israel Institute of Technology, Haifa, Israel

Received  December 2009 Revised  April 2010 Published  April 2010

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.
Keywords: positive solutions, Heat kernel, ratio limit theorem., large time behavior.
Mathematics Subject Classification: Primary: 35K08; Secondary: 35B09, 58J35, 60J6.
Citation: Martin Fraas, David Krejčiřík, Yehuda Pinchover. On some strong ratio limit theorems for heat kernels. Discrete and Continuous Dynamical Systems, 2010, 28 (2) : 495-509. doi: 10.3934/dcds.2010.28.495
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