Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
Bogdan, Krzysztof ; Grzywny, Tomasz ; Ryznar, Michał
Ann. Probab., Tome 38 (2010) no. 1, p. 1901-1923 / Harvested from Project Euclid
We give sharp estimates for the heat kernel of the fractional Laplacian with Dirichlet condition for a general class of domains including Lipschitz domains.
Publié le : 2010-09-15
Classification:  Fractional Laplacian,  Dirichlet problem,  heat kernel estimate,  Lipschitz domain,  boundary Harnack principle,  60J35,  60J50,  60J75,  31B25
@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/