Local well-posedness of the nonlinear Schrödinger equations on the sphere for data in modulation spaces
Local well-posedness of the nonlinear Schrödinger equations on the sphere for data in modulation spaces
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DOI：
10.1080/03605302.2015.1123274
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发表时间：
2015-02
影响因子：
1.9
通讯作者：
H. Takaoka
中科院分区：
文献类型：
--
作者：
H. Takaoka
本文讨论了球面S2上三次非线性薛定谔方程初值问题的能量方法的先验估计。通过适当的先验估计，证明了正则性为s = 1/4的数据解的存在性.
ABSTRACT In this paper, the authors discuss a priori estimates derived from the energy method to the initial value problem for the cubic nonlinear Schrödinger on the sphere S2. Exploring suitable a priori estimates, the authors prove the existence of solution for data whose regularity is s = 1/4.