Global existence of solutions for a subcritical nonlinear Schrodinger equation

被引：0
|
作者：
Hayashi, Nakao [1 ]
Naumkin, Pavel I. [2 ]
机构：
[1] Osaka Univ, Grad Sch Sci, Dept Math, Osaka, Toyonaka, Japan
[2] UNAM, Ctr Ciencias Matemat, Morelia 58089, Michoacan, Mexico
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 108卷
关键词：
Global existence; Nonlinear Schrodinger equation; Subcritical case; ONE SPACE DIMENSION; SCATTERING;
D O I：
10.1016/j.na.2014.05.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the one dimensional nonlinear Schrodinger equation {iu(t) + 1/2u(xx) = N (u, (u) over bar), x is an element of R, t > 1, u (1, x) = u(0)(x), x is an element of R, where the nonlinearity N (u, (u) over bar) = vertical bar u vertical bar(-2 gamma) u(3) = u(3-2 gamma) (u) over bar (-2 gamma), the exponent gamma > 0 is sufficiently small. Our purpose in this paper is to prove a global existence in time of small solutions. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：189 / 213
页数：25
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