Local Well-posedness of the Derivative Schr?dinger Equation in Higher Dimension for Any Large Data

被引：0
|
作者：
Boling GUO [1 ]
Zhaohui HUO [2 ,3 ]
机构：
[1] Institute of Applied Physics and Computational Mathematics
[2] Institute of Mathematics, Academy of Mathematics and Systems Science, CAS
[3] Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of
来源：
ChineseAnnalsofMathematics,SeriesB | 2022年 / 06期
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中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
摘要：
In this paper,the authors consider the local well-posedness for the derivative Schr?dinger equation in higher dimension■ It is shown that the Cauchy problem of the derivative Schr?dinger equation in higher dimension is locally well-posed in Hs（R~n）(s>n/2) for any large initial data.Thus this result can compare with that in one dimension except for the endpoint space Hn/2.
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页码：977 / 998
页数：22
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