学 术 报 告
报告题目: Weak Mean-Square Random Attractors of Fractional Stochastic Parabolic Equations
报告人:王碧祥 教授 新墨西哥矿业理工大学
报告摘要:We will discuss the asymptotic behavior of the solutions of a class of fractional stochastic parabolic equations defined on unbounded domains. The nonlinear drift term has a polynomial growth rate of any order and the nonlinear diffusion term is a locally Lipschitz function with linear growth rate. We first establish the existence and uniqueness of solutions by the Banach fixed point theorem based on pathwise uniform estimates as well as uniform estimates on average. We then prove the existence and uniqueness of weak mean-square random attractors in a Bochner space.
时间:2019年10月28日(星期一)下午3:30-4:30
地点:逸夫科研楼1417
报告人简介:
窗体顶端
王碧祥,美国新墨西哥矿业理工大学数学系终身教授。1994年毕业于兰州大学,获得理学博士学位。先后在西班牙、德国、美国、加拿大等多所大学访问进行研究工作。王碧祥教授主要从事偏微分方程、确定与随机动力系统及随机分析等领域的研究。在Transactions of AMS,SIAM系列杂志,JDE,JDDE等国际知名学术期刊上发表了一系列高水平的学术论文。