NONEXPONENTIAL DECREASE OF THE HEAT KERNEL

Authors
FLORCHINGER P LEANDRE R
Citation
P. Florchinger et R. Leandre, NONEXPONENTIAL DECREASE OF THE HEAT KERNEL, Probability theory and related fields, 95(2), 1993, pp. 237-262
Citations number
28
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Probability theory and related fields → ACNP
ISSN journal
01788051
Volume
95
Issue
2
Year of publication
1993
Pages
237 - 262
Database
ISI
SICI code
0178-8051(1993)95:2<237:NDOTHK>2.0.ZU;2-D
Abstract
In this paper, we give estimates on the heat kernel on the diagonal in terms of exp [ - \Log t\alpha], alpha > 1 when t vanishes. Moreover, we compute, by means of the stochastic calculus of variations, the dec ay of the flatness of some heat kernels. On the other hand, we show th at the computations in both cases are very similar.