Soobin Cho : Analysis of Dirichlet forms vanishing at the boundary

Posted by Cheng Ouyang , part of the Analysis and Applied Mathematics Seminar.

At

Nov. 6, 2023, 4 p.m.

In

636 SEO

Abstract

In this talk, I will explore efficient heat kernel estimates for jump-type Dirichlet forms and their associated Markov jump processes, specifically focusing on jump kernels that vanish at the boundary. In the first part, I will provide an overview of heat kernel estimates for jump processes in spaces with boundaries, encompassing actively reflected processes, killed processes, and censored processes. In the second part, I will present some new features of jump processes with boundary-vanishing jump kernels. The talk is based on joint work with Panki Kim (Seoul National University), Renming Song (UIUC) and Zoran Vondracek (University of Zagreb).