一、题目

KAM Theorem for Hamiltonian with Sublinear Growth Frequencies at Infinity

二、主讲人

徐新冬

三、摘要

We prove an infinite-dimensional KAM theorem for a Hamiltonian system with sublinear growth frequencies at infinity. The main purpose is to present a new and simple method to study the dynamics of such Hamiltonian. We will outline the main difficulty due to sublinear growth frequencies and then present the method to overcome this problem. We apply this theorem to a fractional nonlinear Schrödinger equation on the torus T, thus proving existence and stability of quasi-periodic solutions.

四、主讲人简介

徐新冬，东南大学数学学院副教授，主要研究哈密顿偏微分方程的拟周期解等；其研究成果发表在Analyisi&PDE，SIAM JMATH ANAL，Adv. Math.等国际重要期刊上。

五、邀请人

司文

六、时间

4月20日14:00-15:00

七、地点

腾讯会议 会议ID:159 319 839

八、主办方

山东大学数学学院