GLOBAL EXISTENCE FOR THE DEFOCUSING NONLINEAR SCHRODINGER EQUATIONS WITH LIMIT PERIODIC INITIAL DATA

被引：8

作者：

Oh, Tadahiro ^{[1
,2
]}

机构：

[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3FD, Midlothian, Scotland

[2] Maxwell Inst Math Sci, Edinburgh EH9 3FD, Midlothian, Scotland

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2015年 / 14卷 / 04期

关键词：

Nonlinear Schrodinger equation; well-posedness; global existence; almost periodic functions; limit periodic functions; WELL-POSEDNESS; KDV;

D O I：

10.3934/cpaa.2015.14.1563

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for the defocusing nonlinear Schrodinger equations (NLS) on the real line with a special subclass of almost periodic functions as initial data. In particular, we prove global existence of solutions to NLS with limit periodic functions as initial data under some regularity assumption.

引用

页码：1563 / 1580

页数：18

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