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

本文考虑具有周期边界条件的分数阶非线性Schrodinger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 Schrodinger 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.