几何分析系列报告之03【胡二彦】

题目：Dirichlet heat kernel estimates for cylindrical stable processes 

报告人: 胡二彦, 天津大学应用数学中心

报告时间：2023年3月24日15：00-16：30

报告地点：腾讯会议972-7794-8003；https://meeting.tencent.com/dm/NBVjwIU6ez49

报告摘要：Let d ≥ 2, α ∈ (0,2), and X be the cylindrical α-stable process on R^d. We first present a geometric characterization of open subset D ⊂R^d so that the part process X^D of X in D is irreducible. We then study the properties of the transition density functions of X^D, including the strict positivity property as well as their sharp two-sided bounds in C^1,1 domains in R^d. Our bounds are shown to be sharp for a class of C^1,1 domains.