We give sharp estimates for the heat kernel of the fractional Laplacian with Dirichlet condition for a general class of domains including Lipschitz domains.
@article{1282053775,
author = {Bogdan, Krzysztof and Grzywny, Tomasz and Ryznar, Micha\l },
title = {Heat kernel estimates for the fractional Laplacian with Dirichlet conditions},
journal = {Ann. Probab.},
volume = {38},
number = {1},
year = {2010},
pages = { 1901-1923},
language = {en},
url = {http://dml.mathdoc.fr/item/1282053775}
}
Bogdan, Krzysztof; Grzywny, Tomasz; Ryznar, Michał. Heat kernel estimates for the fractional Laplacian with Dirichlet conditions. Ann. Probab., Tome 38 (2010) no. 1, pp. 1901-1923. http://gdmltest.u-ga.fr/item/1282053775/