报告人：曾才斌（华南理工大学）

时  间：6月8日上午10:00

地  点：腾讯会议ID：829 736 304（无密码）

内容摘要:

In this talk, we present the invariant dynamics of ill-posed stochastic partial differential equations with non-dense domain. Due to the lack of the Hille-Yosida condition, we construct a modified variation of constants formula by the resolvent operator, by which we further estimate the random Stieltjes type convolution. Using the theory of integrated semigroup and the Lyapunov-Perron method, we establish the existence of a center manifold, stable and unstable foliations for such equations with linear multiplicative noise. As for the nonlinear counterpart, we prove the existence of a mean-square random unstable manifold and only a mean-square stable set. Last but not least, we conclude this talk by discussing several possible extensions. This is a joint work with Jianhua Huang and Zonghao Li.

个人简介：

曾才斌，华南理工大学数学学院副教授，硕士生导师。研究方向为随机分岔与混沌、非马氏遍历性、分数微积分、统计数据分析及应用。在国际学术期刊发表学术论文三十余篇，先后主持博士后科学基金、国家自然科学基金青年基金、面上项目等科研项目。

联系人：王昕晟