THE GLOBAL SOLUTION AND“BLOW UPPHENOMENON FOR A CLASS OF SYSTEM OF NONLINEAR SCHR(?)DINGER EQUATIONS WITH THE MAGNETIC FIELD EFFECT

作     者：郭柏灵 

作者机构：Ingtitute of Applied Physics and Computatioml Mathematics Beijing China. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊B辑(英文版))

年 卷 期：1985年第6卷第3期

页      面：281-287页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：BLOW UPPHENOMENON FOR A CLASS OF SYSTEM OF NONLINEAR SCHR DINGER EQUATIONS WITH THE MAGNETIC FIELD EFFECT THE GLOBAL SOLUTION AND 郭柏灵 

摘      要：In this paper,the auther considers following initial value problem for the system ofnonlinear Schrdinger equation with the magnetic field effectiε_t-△ε+βq（丨ε丨2）ε+ηε×（ε×ε）=0 （1.1）ε丨t0=ε0（x）,x∈R2,（1.2）where β,η are real constants,ε=（ε1,ε2,ε3）.First,the existence of the global solutionfor problem（1.1）,（1.2）is established by means of the method of integral estimates,andthen the “blow up theorem is obtained nuder some conditions.