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.