The existence of almost-periodic solutions for 1-dimensional nonlinear Schrodinger equation with quasi-periodic forcing

被引：3

作者：

Liu, Shujuan ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Key Lab High Performance Comp & Stochast Informat, Changsha 410083, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 03期

关键词：

INVARIANT TORI; FULL DIMENSION; CONSTRUCTION;

D O I：

10.1063/1.5134503

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we prove that there exist almost-periodic solutions for the Schrodinger equation with quasi-periodic forcing under periodic boundary conditions. This extends the result of Cong et al. [J. Differ. Equations 264, 4504-4563 (2018)] to the case with quasi-periodic forcing. The main difficulty is to ensure the positive lower bound of the non-resonant condition.

引用

页数：21

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