报告题目：KAM Tori for Reversible Derivative Beam Equations on $T^2$

报告人：耿建生教授  南京大学

报告时间：2018年11月2日16:00-17:00

报告地点：知新楼B1044

摘要：In the present paper, we prove an infinite dimensional reversible KAM theorem. As an application, we study the existence of KAM tori (i.e. quasi-periodic solutions) for a class of two dimensional completely resonant beam equations with derivative nonlinearities. We also use Birkhoff normal form techniques due to the lack of external parameters in equation. This is a joint work with C.Ge and Z.Lou.

报告人简介：

耿建生，南京大学数学系教授，博士生导师，主要从事动力系统与KAM理论的研究，在Advances in Mathematics，Geom. Funct. Anal.，Commun.Math. Phys.，J. Diff. Equa.和SIAM J. Math. Anal. 等重要刊物上发表多篇学术论文。曾获教育部新世纪优秀人才，教育部自然科学奖一等奖（排名第二），主持过两项国家自然科学基金面上项目。

邀请人：司建国