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Estimates of Dirichlet heat kernels
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | STOCHASTIC PROCESSES AND THEIR APPLICATIONS | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0304-4149 | ||||
Official Date: | 1 June 1998 | ||||
Dates: |
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Volume: | 74 | ||||
Number: | 2 | ||||
Number of Pages: | 18 | ||||
Page Range: | pp. 217-234 | ||||
Publication Status: | Published |
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