01-03【宋仁明】管理楼1308 吴文俊数学重点实验室随机分析系列报告

发布者:卢珊珊发布时间:2024-01-02浏览次数:10


报告题目:Potential theory of Dirichlet forms with jump kernels blowing up at the boundary


报告人: Renming Song University of Illinois Urbana-Champaign



报告时间:1月3日 10:00



报告地点:管理楼1308



摘要:


In this talk, I will present some recent results on potential theory of Dirichlet forms on the half-space $\R^d_+$ defined by the jump kernel $J(x,y)=|x-y|^{-d-\alpha}\sB(x,y)$, where $\alpha\in (0,2)$ and ${\cal B}(x,y)$ can blow up to infinity at the boundary. The main results include boundary Harnack principle and sharp two-sided Green function estimates.

This talk is based on a joint paper with Panki Kim and Zoran Vondracek.