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.

引用

页码：125 / 140

页数：16

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