Southwest Jiaotong University School of Mathematics


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来源:   作者:方程和动力系统     日期:2020-11-10 11:19:24   点击数:  

题目: Dirichlet heat kernel estimates of Subordinate Brownian Motions 

报告人:宋仁明  美国伊利诺伊大学香槟分校 教授 博士生导师 

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


时间:  1113日(星期五)上午09: 00-10: 00

地点:腾讯会议        会议 ID465 375 816  


专家简介:宋仁明,美国伊利诺伊大学香槟分校数学系教授,主要从事随机分析和马氏过程的研究。1993年毕业于佛罗里达大学数学系,获博士学位;1997年进入伊利诺伊大学香槟分校数学系。在Ann. Probability, Probab. Theory Relat. Fields, Math. Ann, J. Eur. Math. Soc., J. Funct. Anal. Proc. Lond. Math. Soc.等数学和概率论Top杂志上发表论文100多篇,出版专著2部。