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Linking Theorems of Dynamical Systemswith Applications to PDEs
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       TitleLinking Theorems of Dynamical Systemswith Applications to PDEs

       地点(线上线下同步):理学院A214

       腾讯会议:https://meeting.tencent.com/s/JwkK5t1qCcou

       会议ID:336 594 385

       邀请人:夏健康 郭千桥

       Abstract:In this talk I will introduce some linking theorems and mountain pass type results for dynamical systems in terms of local semiflows on complete metric spaces. These results provide an alternative approach for finding nonempty compact invariant sets without using the Conley index. They can also be applied to variational problems of elliptic equations without verifying the classical P.S. Condition.Examples will be given to illustrate how to use the theoretical results to solve problems of PDEs.

      简介李德生,天津大学数学学院教授、博士生导师,美国数学会《Math Review》、德国数学会《Math. Z》评论员,美国工业与应用数学会(SIAM)会员,长期从事非线性微分方程和动力系统、非线性控制系统的动力学理论以及非光滑系统分析等领域的研究,解决了著名数学家R.Temam关于Cahn-Hilliard系统吸引子的存在性等相关的公开问题。先后主持完成多项国家自然科学基金面上项目,在SIAM系列期刊、Indiana Univ. Math. J., J. Differential Equations等国际学术期刊发表SCI论文近60篇。