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.