Nonvanishing at spatial extremity solutions of the defocusing nonlinear Schrodinger equation

被引：2
|
作者：
Gialelis, Nikolaos [1 ]
Stratis, Ioannis G. [1 ]
机构：
[1] Univ Athens, Dept Math, GR-15784 Athens, Greece
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 15期
关键词：
Cauchy problem; dark soliton; defocusing; extension operator; nonlinear Schrodinger equation; nonvanishing at spatial extremity solutions; CAUCHY-PROBLEM; WAVES;
D O I：
10.1002/mma.5074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show local existence of certain type of solutions for the Cauchy problem of the defocusing nonlinear Schrodinger equation with pure power nonlinearity, in various cases of open sets, unbounded or bounded. These solutions do not vanish at the boundary or at infinity. We also show, in certain cases, that these solutions are unique and global.
引用
收藏
页码：4939 / 4956
页数：18
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