The global solution for a class of systems of fractional nonlinear Schrodinger equations with periodic boundary condition

被引：53

作者：

Hu, Jiaqian ^{[1
]}

Xin, Jie ^{[1
]}

Lu, Hong ^{[1
]}

机构：

[1] Ludong Univ, Sch Math & Informat, Yantai 264025, Shandong, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期

关键词：

Fractional nonlinear Schrodinger equations; Global solution; Gagliardo-Nirenberg inequality; Faedo-Galerkin method;

D O I：

10.1016/j.camwa.2011.05.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of systems of fractional nonlinear Schrodinger equations. We prove the existence and uniqueness of the global solution to the periodic boundary value problem by using the Faedo-Galerkin method. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1510 / 1521

页数：12

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