讲座题目:Fractional SPDE with Gaussian noise: Moment bounds and spatial average
讲座时间:2025年3月7日15:00
讲座地点:理工楼南516
主讲人(简介):刘俊峰,教授,南京审计大学研究生院副院长(主持工作),江苏省“333工程”中青年学术带头人、江苏高校“青蓝工程”中青年学术带头人。法国Universite de Lille 1、香港大学访问学者。主持省部级及以上课题7项。在《Bulletin des Sciences Mathematiques》《ALEA》《Journal of Theoretical Probability》《Potential Analysis》《中国科学》(英文版)、《数学学报》(英文版)等国内外权威期刊发表学术论文40余篇,其中ESI前1%高被引论文1篇。
讲座内容(简介):Consider a class of fractional stochastic partial differential equation associated with a nonlocal operator and a fractional noise. We study the lower and upper moment bound of the mild solution and prove that the normalized spatial average of the solution converges in total variance distance to a standard normal distribution. The Malliavin calculus, Feyman-Kac formula and Malliavin-Stein's method play an important role.