Quasi-periodic Solutions for Schro(sic)dinger Equation with Finite Smooth Quasi-periodic Forcing

被引：0

作者：

Hu, Shengqing ^{[1
]}

机构：

[1] Chinese Univ Hong Kong, Sch Sci & Engn, Shenzhen 518172, Guangdong, Peoples R China

来源：

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2023年 / 22卷 / 03期

基金：

中国国家自然科学基金;

关键词：

KAM theory; Schrodinger equation; finite smoothness; Hamilton system; normal form; NONLINEAR-WAVE EQUATIONS; LOWER-DIMENSIONAL TORI; PARTIAL-DIFFERENTIAL-EQUATIONS; HAMILTONIAN PERTURBATIONS; KAM THEOREM; PERSISTENCE; CONSTRUCTION; SYSTEMS;

D O I：

10.1137/22M1523649

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the quasi-periodic forced Schrodinger equation subject to Dirichlet boundary condition iu(t) u(xx) + gamma u + g(beta t)| u|(2) u = 0, x is an element of [0,pi], where gamma is real, and g(beta t) is of lower regularity and quasi-periodic in t with the frequency vector beta = (beta(1),...,beta(m)). Based on Birkhoff normal form theory and the KAM iterative method for infinite dimensional Hamiltonian systems, we prove the existence of quasi-periodic solutions.

引用

页码：1945 / 1982

页数：38

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