Dirichlet heat kernel for unimodal Lévy processes. (English) Zbl 1320.60112
Summary: We estimate the heat kernel of the smooth open set for the isotropic unimodal pure-jump Lévy process with infinite Lévy measure and weakly scaling Lévy-Khintchine exponent.
MSC:
| 60G51 | Processes with independent increments; Lévy processes |
| 60J75 | Jump processes (MSC2010) |
| 60J35 | Transition functions, generators and resolvents |
| 60J50 | Boundary theory for Markov processes |
| 35K08 | Heat kernel |
| 31B25 | Boundary behavior of harmonic functions in higher dimensions |
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