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Estimates of Dirichlet heat kernel for symmetric Markov processes

 Vrijeme: 17.2.201617:00 Predavaonica: 005 Predavač: Panki Kim (Seoul National University) Naziv: Estimates of Dirichlet heat kernel for symmetric Markov processes Web stranica: Kliknite ovdje Opis: In this talk, we consider a large class of symmetric pure jump Markov processes dominated by isotropic unimodal L'evy processes with weak scaling conditions. We first establish sharp two-sided heat kernel estimates for this processes in $C^{1,rho}$ open sets. As a corollary of our main result, we obtain a sharp two-sided Green function and a scale invariant boundary Harnack inequality with explicit decay rates in $C^{1,rho}$ open sets. This is a joint work with Tomasz Grzywny and Kyung-Youn Kim.

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