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September 2010 Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
Krzysztof Bogdan, Tomasz Grzywny, Michał Ryznar
Ann. Probab. 38(5): 1901-1923 (September 2010). DOI: 10.1214/10-AOP532

Abstract

We give sharp estimates for the heat kernel of the fractional Laplacian with Dirichlet condition for a general class of domains including Lipschitz domains.

Citation

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Krzysztof Bogdan. Tomasz Grzywny. Michał Ryznar. "Heat kernel estimates for the fractional Laplacian with Dirichlet conditions." Ann. Probab. 38 (5) 1901 - 1923, September 2010. https://doi.org/10.1214/10-AOP532

Information

Published: September 2010
First available in Project Euclid: 17 August 2010

zbMATH: 1204.60074
MathSciNet: MR2722789
Digital Object Identifier: 10.1214/10-AOP532

Subjects:
Primary: 60J35, 60J50
Secondary: 31B25, 60J75

Rights: Copyright © 2010 Institute of Mathematical Statistics

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Vol.38 • No. 5 • September 2010
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