UNSPECIFIED (1998) Estimates of Dirichlet heat kernels. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 74 (2). pp. 217-234. ISSN 0304-4149

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Abstract

By using logarithmic transformations and stochastic analysis, an explicit lower bound of Dirichlet heat kernels is obtained, which can be sharp for both short lime and long time. Next, a two-side comparison theorem is presented for Dirichlet heat kernels and some closed ones, from which we derive the Bismut's type derivative formula for Dirichlet heat kernels. Moreover, the Li-Yau's type Harnack inequality is established for Dirichlet heat semigroups. Finally, the integration estimate of Dirichlet heat kernels is also studied. (C) 1998 Elsevier Science B.V. All rights reserved.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	STOCHASTIC PROCESSES AND THEIR APPLICATIONS
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0304-4149
Date:	1 June 1998
Volume:	74
Number:	2
Number of Pages:	18
Page Range:	pp. 217-234
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/15621

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