Estimates of heat kernel for symmetric Markov processes
Kyung-youn KimAcademia Sinica 上午 10:00–12:00 Tòa nhà Hồng Kinh 107 室Abstract
We consider large classes of symmetric pure jump Markov processes. The first processes are dominated by isotropic unimodal Levy processes with weak scaling conditions, and we establish sharp two-sided heat kernel estimates for these in $C^{1,1}$ open sets. The second processes are anisotropic Markov processes, and we establish sharp two-sided heat kernel estimates for these in $R^d$.
These are joint works with Tomasz Grzywny, Panki Kim and Moritz Kassmann, Takashi Kumagai.