Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
Copyright policy )Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
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)
We give sharp estimates for the heat kernel of the fractional Laplacian with Dirichlet condition for a general class of domains including Lipschitz domains.
- Institute of Mathematics Poland
- Polish Academy of Sciences Poland
- University of Technology Russian Federation
- University of Wrocław Poland
- Wrocław University of Science and Technology Poland
heat kernel estimate, Probability (math.PR), Transition functions, generators and resolvents, 31B25, Lipschitz domain, Fractional Laplacian, Boundary theory for Markov processes, 60J35, FOS: Mathematics, fractional Laplacian, 60J75, Jump processes, 60J50, Boundary behavior of harmonic functions in higher dimensions, boundary Harnack principle, Mathematics - Probability, Dirichlet problem
heat kernel estimate, Probability (math.PR), Transition functions, generators and resolvents, 31B25, Lipschitz domain, Fractional Laplacian, Boundary theory for Markov processes, 60J35, FOS: Mathematics, fractional Laplacian, 60J75, Jump processes, 60J50, Boundary behavior of harmonic functions in higher dimensions, boundary Harnack principle, Mathematics - Probability, Dirichlet problem
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