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Guo, B.L., Han, Y.Q. and Xin, J. (2008) Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation. Applied Mathematics and Computation, 204, 468-477.
http://dx.doi.org/10.1016/j.amc.2008.07.003

被以下文章引用:

• 标题: 分数阶非线性SchrO¨dinger方程解的存在性The Existence of Global Solution of Fractional Nonlinear SchrO¨dinger Equation

  作者: 金玲玉, 蓝丽红

  关键字: 分数阶非线性SchrO¨dinger方程, 光滑解, 先验估计Fractional Nonlinear SchrO¨dinger Equation, Global Solution, Priori Estimate

  期刊名称: 《Dynamical Systems and Control》, Vol.4 No.4, 2015-10-09

  摘要: 本文考虑具有周期边界条件的分数阶非线性Schrödinger方程的初值问题，通过引入复合函数的范数估计等引理，并采用先验估计方法得到问题解的存在性。 In this paper, we deal with the global smooth solution for the fractional nonlinear Schrödinger equation with period boundary value. Through some preliminary lemmas of the estimates for composite functions, taking the prior estimate method, the existence of the solution is obtained.