THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRODINGER EQUATIONS

被引：14
|
作者：
Guo, Chunxiao [1 ]
Guo, Boling [2 ]
机构：
[1] China Univ Min & Technol Beijing, Dept Math, 11 Xueyuan Rd, Beijing 100083, Peoples R China
[2] Inst Appl Phys & Computat Math, 6 Huayuan Rd, Beijing 100088, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fourth-order nonlinear Schrodinger equation; Galerkin method; initial boundary value problem;
D O I：
10.11948/2156-907X.20190095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of a class of multidimensional fourth-order nonlinear Schrodinger equation including the derivatives of the unknown function in the nonlinear term is studied, and the existence of global weak solutions of nonlinear Schrodinger equation is proved by the Galerkin method according to the different values of lambda.
引用
收藏
页码：1183 / 1192
页数：10
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