摘要
本文研究一类薛定谔方程的初值问题.我们建立解的整体存在与有限时刻爆破的两个门槛结果并讨论了驻波解的不稳定性.
In this paper, we consider the Cauchy problem of a nonlinear Schrdinger equation. We establish two sharp thresholds for blowup and global existence of the solution when4/N p2 4/（N-2） and discuss the instability of the standing wave solution.
作者
安晓伟
AN Xiaowei(College of Management and Economic, Tianjin University, Tianjin 300072, China;Basic Subject Application and Development Research Center, The Chinese People＇s Armed Police Force Academy, Langfang 065000, China)
出处
《应用数学》
CSCD
北大核心
2018年第3期583-591,共9页
Mathematica Applicata
基金
Supported by the Cultivate Project of NFSC by the Chinese People’s Armed Police Force Academy,Grant ZKJJPY201723
关键词
非线性薛定谔方程
整体存在
有限时刻爆破
门槛结果
驻波解
Nonlinear Schrodinger equation
Global existence
Blow up in finite time
Sharp threshold
Standing wave solution
