Statistics and Data Science Seminar
Renming Song
UIUC
Potential theory of Dirichlet forms with jump kernels blowing up at the boundary
Abstract: In this talk, I will present some recent results on potential theory of
Dirichlet forms on the half-space $\mathbb{R}^d_+$ defined by the jump kernel
$J(x,y)=|x-y|^{-d-\alpha}{\cal B}(x,y)$, 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.
Wednesday October 12, 2022 at 4:00 PM in 636 SEO