Existence and Uniqueness of the Global Smooth Solution to the Periodic Boundary Value Problem of Fractional Nonlinear Schrödinger System

Gongming Wei; Jing Dong

doi:10.4208/jpde.v28.n2.1

Existence and Uniqueness of the Global Smooth Solution to the Periodic Boundary Value Problem of Fractional Nonlinear Schrödinger System

Authors

Gongming Wei College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Jing Dong College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

DOI:

https://doi.org/10.4208/jpde.v28.n2.1

Keywords:

Nonlinear Schrödinger system;global smooth solution;Gagliardo-Nirenberg inequality

Abstract

" In this paper, we study a class of coupled fractional nonlinear Schr\u00f6dinger system with periodic boundary condition. Using Galerkin method, the existence of global smooth solution is obtained. We also prove the uniqueness of the solution."

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Published

2015-06-05

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Issue

Vol. 28 No. 2 (2015)

Section

Articles

How to Cite

Existence and Uniqueness of the Global Smooth Solution to the Periodic Boundary Value Problem of Fractional Nonlinear Schrödinger System. (2015). Journal of Partial Differential Equations, 28(2), 95-119. https://doi.org/10.4208/jpde.v28.n2.1