Remarks on global existence and blowup for damped nonlinear Schrodinger equations

被引：56

作者：

Ohta, Masahito ^{[1
]}

Todorova, Grozdena ^{[2
]}

机构：

[1] Saitama Univ, Dept Math, Saitama 3388570, Japan

[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 23卷 / 04期

关键词：

Global existence; blowup; damped nonlinear Schrodinger equation; CRITICAL POWER NONLINEARITY; KLEIN-GORDON EQUATIONS; CAUCHY-PROBLEM; UP SOLUTIONS; INSTABILITY; DISSIPATION; WAVES;

D O I：

10.3934/dcds.2009.23.1313

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for the damped nonlinear Schrodinger equations, and prove some blowup and global existence results which depend on the size of the damping coefficient. We also discuss the L(2) concentration phenomenon of blowup solutions in the critical case.

引用

页码：1313 / 1325

页数：13

共 30 条

[1]

BERESTYCKI H, 1981, CR ACAD SCI I-MATH, V293, P489

[2] RAPIDLY DECAYING SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION [J].