TY - JOUR
T1 - Existence and Uniqueness of the Global Smooth Solution to the Periodic Boundary Value Problem of Fractional Nonlinear Schrödinger System
AU - Wei , Gongming
AU - Dong , Jing
JO - Journal of Partial Differential Equations
VL - 2
SP - 95
EP - 119
PY - 2015
DA - 2015/06
SN - 28
DO - http://doi.org/10.4208/jpde.v28.n2.1
UR - https://global-sci.org/intro/article_detail/jpde/5104.html
KW - Nonlinear Schrödinger system
KW - global smooth solution
KW - Gagliardo-Nirenberg inequality
AB -  In this paper, we study a class of coupled fractional nonlinear Schrödinger system with periodic boundary condition. Using Galerkin method, the existence of global smooth solution is obtained. We also prove the uniqueness of the solution.