Sharp criterion of global existence for a class of nonlinear Schrodinger equations with critical exponent

被引:1
作者
Xu Runzhang [1 ]
Wang Xuemei [1 ]
Niu Yi [1 ]
Zhang Mingyou [1 ]
Liu Jie [1 ]
机构
[1] Harbin Engn Univ, Coll Sci, Harbin 150001, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
Sharp condition; Invariant manifold; Global existence; Blow up; Schrodinger equation; BLOW-UP; CAUCHY-PROBLEM; NONEXISTENCE; INSTABILITY;
D O I
10.1016/j.matcom.2012.05.022
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper discusses the inhomogeneous nonlinear Schrodinger equation with critical exponent. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we derive a sharp criterion for blowup and global existence of the solutions. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:46 / 51
页数:6
相关论文
共 18 条