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

Issue

Vol. 28 No. 2 (2015)

Section

Articles