WELL-POSEDNESS AND BLOWUP FOR THE DISPERSION-MANAGED NONLINEAR SCHR?DINGER EQUATION

被引：4
|
作者：
Murphy, Jason [1 ]
Van Hoose, Tim [1 ]
机构：
[1] Missouri S&T, Dept Math & Stat, Rolla, MO 65401 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 06期
关键词：
SOLITONS; DECAY;
D O I：
10.1090/proc/16243
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the nonlinear Schrodinger equation with periodic dis-persion management. We first establish global-in-time Strichartz estimates for the underlying linear equation with suitable dispersion maps. As an appli-cation, we establish a small-data scattering result for the 3d cubic equation. Finally, we use a virial argument to demonstrate the existence of blowup so-lutions for the 3d cubic equation with piecewise constant dispersion map.
引用
收藏
页码：2489 / 2502
页数：14
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