Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

Details Heat kernel estimates for the fractional Laplacian with Dirichlet conditions Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

2009-05-15

arxiv.org/abs/0905.2626v4

Annals of Probability 2010, Vol. 38, No. 5, 1901-1923

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/10-AOP532 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/10-AOP532

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

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