Probability and Statistics Seminar—— Potential theory of Dirichlet forms with jump kernels blowing up at the boundary
报告人： Renming Song（University of Illinois Urbana-Champaign）
时间：2023-06-26 10:00–11:00
地点：Room 1304, Sciences Building No. 1
Abstract:
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.
About the Speaker:
Renming Song, Professor of Mathematics, University of Illinois at Urbana-Champaign. His area of Research contains Markov processes, potential theory, stochastic analysis and branching processes.
Homepage： https://faculty.math.illinois.edu/~rsong/
Your participation is warmly welcomed!
