报告题目：Markov processes with jump kernels decaying at the boundary
时 间：2026年05月28日（星期四）10：00
地 点：理工南楼621
主 办：数学与统计学院
参加对象：感兴趣的老师及研究生
报告摘要：In this talk, we discuss pure-jump Markov processes on smooth open sets whose jumping kernels vanishing at the boundary and part processes obtained by killing at the boundary or (and) by killing via the killing potential. The killing potential may be subcritical or critical.This work can be viewed as developing a general theory for non-local singular operators whose kernel vanishing at the boundary. Due to the possible degeneracy at the boundary, such operators are, in a certain sense, not uniformly elliptic. These operators cover the restricted, censored and spectral Laplacians in smooth open sets and much more.The main results are the boundary Harnack principle and its possible failure, and sharp two-sided Green function estimates.This is a joint work with Soobin Cho (University of Illinois, USA), Renming Song (University of Illinois, USA) and Zoran Vondra\v{c}ek (University of Zagreb, Croatia)
报告人简介： Panki Kim，韩国首尔大学教授。2004年博士毕业于美国华盛顿大学。研究领域为随机分析，主要关注带跳随机过程的狄氏型、热核估计等课题，在Journal of the European Mathematical Society (JEMS)、Transactions of the American Mathematical Society、Journal of Functional analysis、Annals of Probability、Communications in Mathematical Physics等国际权威数学期刊发表多篇学术论文。