非线性Schrdinger方程组解的整体存在与有限时刻爆破的两个门槛结果（英文）  

Two Sharp Thresholds for Blowup and Global Existence of the Solution to a Nonlinear Schrdinger Equation

作　　者：安晓伟[1,2] 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)

机构地区：[1]天津大学管理学院,天津300072 [2]中国人民武装警察部队学院基础学科发展与应用研究中心,河北廊坊065000

出　　处：《应用数学》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

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 Schrdinger 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.

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 

分 类 号：O175[理学—数学]