4.5 Article

HEAT KERNEL ESTIMATES FOR THE FRACTIONAL LAPLACIAN WITH DIRICHLET CONDITIONS

Journal

ANNALS OF PROBABILITY
Volume 38, Issue 5, Pages 1901-1923

Publisher

INST MATHEMATICAL STATISTICS
DOI: 10.1214/10-AOP532

Keywords

Fractional Laplacian; Dirichlet problem; heat kernel estimate; Lipschitz domain; boundary Harnack principle

Funding

  1. [MNiSW N N201 397137]
  2. [MNiSW N N201 373136]

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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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