报告题目：Potential Theory of Subordinate BrownianMotions

报 告 人：Professor Renming Song,University of Illinois

报告时间：2018年8月8日下午15:00-16:00

报告地点：苏州大学金融工程研究中心105学术报告厅

Abstract: A subordinateBrownian motion can be obtained by replacing the time parameter of a Brownianmotion by an independent increasing Levy process(i. e., a subordinator).Subordinate Brownian motions form a large subclass of Levy processes and theyare very important in various applications. The generator of of a subordinateBrownian motion is a function of the Laplacian. In this talk, I will give asurvey of some of the recent results in the study of the potential theory ofsubordinate Brownian motions. In particular, I will present recent results onsharp two-sided estimates on the transition densities of killed subordinateBrownian motions in smooth open sets, or equivalently, sharp two-sidedestimates on the Dirichlet heat kernels of the generators of subordinateBrownian motions.