题目: Dirichlet heat kernel estimates of Subordinate Brownian Motions
报告人: 宋仁明 教授（伊利诺伊大学厄巴纳-香槟分校）
时间: 8月3日 上午8:30-9:20
摘要: A subordinate Brownian motion can be obtained by replacing the time parameter of a Brownian motion by an independent increasing Lévy process (i.e., a subordinator). Subordinate Brownian motions form a large subclass of Lévy processes and they are very important in various applications. The generator of a subordinate Brownian motion is a function of the Laplacian. In this talk, I will give a survey of some of the recent results in the study of the potential theory of subordinate Brownian motions. In particular, I will present recent results on sharp two-sided estimates on the transition densities of killed subordinate Brownian motions in smooth open sets, or equivalently, sharp two-sided estimates on the Dirichlet heat kernels of the generators of subordinate Brownian motions.