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.
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