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Large time behavior of the heat kernel
Authors:Yehuda Pinchover
Affiliation:Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel
Abstract:In this paper we study the large time behavior of the (minimal) heat kernel kPM(x,y,t) of a general time-independent parabolic operator Lu=ut+P(x,x)u which is defined on a noncompact manifold M. More precisely, we prove that
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Keywords:primary 35K10   secondary 35B40   58J35   60J60
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