CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRDINGER EQUATIONS |
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引用本文: | 李晓光,张健.CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRDINGER EQUATIONS[J].应用数学和力学(英文版),2005(10). |
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作者姓名: | 李晓光 张健 |
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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 |
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基金项目: | ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10271084)andtheScienceFoundationofKeyLaboratoryofSichuanProvince |
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摘 要: | IntroductionThe following coupled cubic nonlinear Schr dinger equations inR2are considered:it-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
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关 键 词: | nonlinear Schrdinger equation global existence blow up blow-up point L2-concentration |
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