Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

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.

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)

References in corpus (3)

• Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
• Spectral properties of the Cauchy process
• Harmonic Hardy spaces on smooth domains

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