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CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRDINGER EQUATIONS
引用本文:李晓光,张健.CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRDINGER EQUATIONS[J].应用数学和力学(英文版),2005(10).
作者姓名:李晓光  张健
作者单位:College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,P.R.China,College of Economics,Sichuan Normal University,Chengdu 610066,P.R.China,Software Laboratory,Sichuan Normal University,Chengdu 610066,P.R.China,College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,P.R.China
基金项目:ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10271084)andtheScienceFoundationofKeyLaboratoryofSichuanProvince
摘    要:IntroductionThe following coupled cubic nonlinear Schr dinger equations inR2are considered:it-Δ=(||2-|ψ|2),t>0,x∈R2,iψt-Δψ=(-||2 |ψ|2)ψ,t>0,x∈R2,(1)where=(t,x):0,T)×R2→C,ψ=ψ(t,x):0,T)×R2→C,Δis the Laplaceoperator onR2.The e

关 键 词:nonlinear  Schrdinger  equation  global  existence  blow  up  blow-up  point  L2-concentration
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