On Pullback Attractors in H2 for Non-autonomous Reaction-diffusion Equations

摘要：

　　In this paper we consider H2-regularity of pullback attractors for the reaction-diffusion equation.Firstly,we show that under the suitable conditions,every family of bounded subsets of L2(Ω)which is invariant for the process U,is in fact bounded in L2(Ω).Then,as a consequence,we obtain that the system has a unique continuous periodic solution which attracts any bounded set exponentially.

关键词： Reaction-diffusion equations pullback attractor periodic solution

作者: Hongyan Li Weisi Zhang

作者单位: College of Management,Shanghai University of Engineering Science,Shanghai 201620,China

会议类型: 国际会议

会议名称: 第26届中国控制与决策会议(2014 CCDC)

会议地点: 长沙

会议语种:英文

页码: 693-696

在线出版日期: 2014-05-31（万方平台首次上网日期，不代表论文的发表时间）