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

关键词：

D O I：

暂无

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.

引用

页码：977 / 998

页数：22

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