The stability of full dimensional KAM tori for nonlinear Schrodinger equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Cong, Hongzi¹  Liu, Jianjun²  Shi, Yunfeng³  Yuan, Xiaoping³ 

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China

[2] Sichuan Univ, Sch Math Sci, Chengdu 610065, Sichuan, Peoples R China

[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

关键词: Stability for Hamilton PDEs;    Almost periodic solution;    Full dimensional tori;    NLS equation;   

DOI  :  10.1016/j.jde.2017.12.013

来源: Elsevier

【 摘 要 】

In this paper, it is proved that the full dimensional invariant tori obtained by Bourgain [J. Funct. Anal., 229 (2005), no. 1, 62-94] is stable in a very long time for 1D nonlinear Schrodinger equation with periodic boundary conditions. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free