A Nekhoroshev type theorem for the derivative nonlinear Schrodinger equation

被引：18

作者：

Cong, Hongzi ^{[1
]}

Mi, Lufang ^{[2
]}

Wang, Peizhen ^{[1
]}

机构：

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

[2] Binzhou Univ, Coll Sci, Inst Aeronaut Engn & Technol, Shandong 256600, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 09期

关键词：

Unbounded perturbation; Nekhoroshev estimate; Hamiltonian system; Derivative nonlinear Schrodinger equation; KLEIN-GORDON EQUATIONS; HAMILTONIAN-SYSTEMS; GLOBAL EXISTENCE; CAUCHY DATA; STABILITY; DIMENSION;

D O I：

10.1016/j.jde.2019.11.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved a Nekhoroshev type theorem for the derivative nonlinear Schrodinger equation in a Gevrey space. More precisely, we prove that if the norm of initial datum is equal to epsilon/2, then ifs is small enough, the norm of the solution of the nonlinear Schrodinger equation above is bounded by 2 epsilon over a very long time interval of order e(vertical bar In epsilon vertical bar 1+beta), where 0 < beta < 1/2 is arbitrary. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：5207 / 5256

页数：50

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