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

页码：2489 / 2502

页数：14

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