機率研討會 主講者: Prof. Renming Song (University of Illinois ) 講題: Sharp two-sided heat kernel estimates for Dirichlet fractional Laplacians 時間: 2008-06-11 (Wed.)  14:10 - 15:30 地點: Abstract: The heat kernel for Dirichlet fractional Laplacian $-(-\Delta)^{\alpha/2}|_D$, $\alpha\in (0, 2)$, with zero exterior condition is the transition density of a symmetric $\alpha$-stable process killed upon exiting $D$. In this talk, I will present recent results on sharp two-sided estimates for the heat kernel of the Dirichlet fractional Laplacian in $C^{1, 1}$ open sets. I will also present results on the estimates of transition density of other related processes. This talk is based on two joint papers with Zhen-Qing Chen and Panki Kim. || Close window ||