Large-Data Equicontinuity for the Derivative NLS

被引：7
作者：
Harrop-Griffiths, Benjamin [1 ]
Killip, Rowan [1 ]
Visan, Monica [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 06期
基金：
美国国家科学基金会;
关键词：
GLOBAL WELL-POSEDNESS; NONLINEAR SCHRODINGER-EQUATION; MODULATIONAL INSTABILITY; EXISTENCE;
D O I：
10.1093/imrn/rnab374
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the derivative nonlinear Schrodinger equation in one spatial dimension, which is known to be completely integrable. We prove that the orbits of L-2 bounded and equicontinuous sets of initial data remain bounded and equicontinuous, not only under this flow, but also under the entire hierarchy. This allows us to remove the small-data restriction from prior conservation laws and global well-posedness results.
引用
收藏
页码：4601 / 4642
页数：42
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