Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
19
From page
191
To page
209
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 thatlimt→∞ eλ0tkPM(x,y,t)always exists. Here λ0 is the generalized principal eigenvalue of the operator P in M.
Journal title
Journal of Functional Analysis
Serial Year
2004
Journal title
Journal of Functional Analysis
Record number
709246
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