ORBITAL STABILITY AND UNIQUENESS OF THE GROUND STATE FOR THE NON-LINEAR SCHRODINGER EQUATION IN DIMENSION ONE

被引：5

作者：

Garrisi, Daniele ^{[1
]}

Georgiev, Vladimir ^{[2
,3
]}

机构：

[1] Inha Univ, Dept Math Educ, West Bldg,Off 5W443,253 Yonghyun Dong, Incheon 402751, South Korea

[2] Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, PI, Italy

[3] Waseda Univ, Fac Sci & Engn, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 08期

关键词：

Stability; uniqueness; Schrodinger; POWER-TYPE NONLINEARITIES; STANDING WAVES; EXISTENCE; INSTABILITY;

D O I：

10.3934/dcds.2017184

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that standing-waves which are solutions to the non-linear Schrodinger equation in dimension one, and whose profiles can be obtained as minima of the energy over the mass, are orbitally stable and non-degenerate, provided the non-linear term satisfies a Euler differential inequality. When the non-linear term is a combined pure power-type, then there is only one positive, symmetric minimum of prescribed mass.

引用

页码：4309 / 4328

页数：20

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