English

Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

Probability 2010-11-08 v4

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.

Keywords

Cite

@article{arxiv.0905.2626,
  title  = {Heat kernel estimates for the fractional Laplacian with Dirichlet conditions},
  author = {Krzysztof Bogdan and Tomasz Grzywny and Michał Ryznar},
  journal= {arXiv preprint arXiv:0905.2626},
  year   = {2010}
}

Comments

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