Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation

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摘要

In this paper, we prove the existence and uniqueness of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation by using energy method.

论文关键词:Fractional nonlinear Schrödinger equation,Global smooth solution,Gagliardo–Nirenberg inequality

论文评审过程:Available online 16 July 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.07.003