The low energy scattering for nonlinear Schrodinger equation

被引：0
|
作者：
Fang, Conghui [1 ]
Han, Zheng [1 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China
来源：
REVISTA MATEMATICA COMPLUTENSE | 2023年 / 36卷 / 01期
关键词：
Nonlinear Schrodinger equation; Nonhomogeneous Strichartz estimate; Pseudo-conformal transformation; Global existence; Scattering; CAUCHY-PROBLEM;
D O I：
10.1007/s13163-021-00413-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider the nonlinear Schrodinger equation {iu(t) + Delta u + lambda vertical bar u vertical bar(alpha)u = 0, u(0, x) = u(0). on R-n with n >= 4 and lambda epsilon C. We prove that if 8/n+root n(2)+16n+32 < alpha < 4/n, then there exists a unique, global solution and it scatters as t -> infinity.
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页码：125 / 140
页数：16
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