Sharp Criterion of Global Existence for Nonlinear Schrodinger Equation with a Harmonic Potential

作     者：Ji SHU Jian ZHANG 

作者机构：Sichuan Provincial Key Laboratory of Computer Software Sichuan Normal University Chengdu 610066 P. R. China College of Mathematics and Software Science Sichuan Normal University Chengdu 610066 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2009年第25卷第4期

页      面：537-544页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 0803[工学-光学工程] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (No. 10747148  No. 10771151) and the Scientific Research Fund of Sichuan Provinciul Education Department (08ZA041) 

主　　题：cross-constrained variational problem nonlinear Schodinger equation global existence,blow-up harmonic potential 

摘      要：This paper discusses nonlinear SchrSdinger equation with a harmonic potential. By constructing a different cross-constrained variational problem and the so-called invariant sets, we derive a new threshold for blow-up and global existence of solutions.