报告题目：Invariant whiskered tori with Liouvillean frequency for some partial differential equations

报告摘要：Invariant whiskered tori with Liouvillean frequency for a class of evolutionary equations are constructed. The proof is based on an infinite-dimensional KAM theory for non-conservative systems in the case of Liouvillean frequency. The result in this talk can be applied to some specific partial differential equations (PDE's) even to some ill-posed ones, and it can be regard as an improvement with respect to the result of Rafael de la Llave.

个人简介：司建国，山东大学数学学院教授，博士生导师。主要从事微分方程与动力系统理论中的KAM理论和迭代理论的研究，在国际著名刊物 Nonlinearity, J. Differential Equations, Physica D, Z. Angew. Math. Phys., Proceeding of the Edinburgh Math. Soc., J. Dyn. Diff. Equat., Discrete and Contin. Dyn. Systems., J. Math. Phys., J. Math. Anal. Appl., J. Differ. Equat. Appl., Comm. Pure Appl. Anal. 等发表论文近百篇. 承担或完成多项国家自然科学基金和山东省自然科学基金项目。2007年被聘为国家科学技术进步奖评审专家，是美国数学会会员，美国数学评论评论员，担任三个国际刊物 Pure Mathematics , Advances in Applied Mathematics 和J. Appl. Math. Statis.Appl. 副主编及编委。

报告时间：2018年4月14日    15:00

报告地点：网络楼报告厅