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

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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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DOI

10.4208/jpde.v28.n2.1

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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