Two-sided Green function estimates for killed subordinate Brownian motions
主 题: Two-sided Green function estimates for killed subordinate Brownian motions
报告人: Prof. Panki Kim(Seoul National University, South Korea)
时 间: 2010-12-27 15:00-16:00
地 点: 理科一号楼1556
A subordinate Brownian motion is a Levy process which can obtained by replacing the time of Brownian motion by an independent increasing Levy process.
In this talk, we consider a large class of subordinate Brownian motions without diffusion term. This class of processes include symmetric stable processes, relativistic stable processes, sums of independent symmetric stable processes, sums of independent relativistic stable processes, and much more. We give an explicit form of sharp two-sided estimates on the Green functions of these subordinate Brownian motions in bounded C1,1 open set. This is a joint work with Renming Song and Zoran Vondracek.
