Speaker: Geng Jiansheng,Professor of Department of Mathematics, Nanjing University, PhD supervisor

Inviter: Si Wen

Date: Apr.20, 2021

Time: 3:00-4:00p.m.

Location: Tencent Meeting ID:159 319 839

Abstract:

We prove an abstract infinite dimensional KAM theorem, which could be applied to prove the existence and linear stability of small-amplitude quasi-periodic solutions for one dimensional forced Kirchhoff equations with Dirichlet boundary conditions

Where M is a real Fourier multiplier, g(wt,x) is real analytic and odd inx with forced Diophantine frequenciesw,o is a small parameter.The proof is based on an improved Kuksin lemma and the off-diagonal decay property of the forcing term.This is a joint work with Yin Chen.

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https://www.view.sdu.edu.cn/info/1020/149037.htm