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学术报告:Moment bounds and noise excitations for a class of fractional heat equations

报告题目:Moment bounds and noise excitations for a class of fractional heat equations (一类分数阶热方程的噪声激励)

报告时间:2015年12月11日(周五)下午2:30-4:00

报告地点:澳门威尼斯游戏平台松江校区2号学院楼331

主讲人:刘暐 博士,上海师范大学数学系

摘要:In this talk, the concept of noise excitation will be introduced. Fractional stochastic heat equations driven by white and colored noises will be considered. Under suitable assumptions, we show that the second moment of the solution grows exponentially with time. In particular, this answers an open problem in (Conus and Khoshnevisan, Probability Theory and Related Fields, 2010). Along the way, we prove a number of other interesting properties.

主持人:胡良剑 教授