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Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (10): 1357-1362 .

• 论文 • 上一篇    下一篇

CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRÖDINGER EQUATIONS

李晓光, 张健   

  • 收稿日期:2003-10-24 修回日期:2005-03-20 出版日期:2005-10-18 发布日期:2005-10-18
  • 通讯作者: 李晓光

CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRÖDINGER EQUATIONS

LI Xiao-guang, ZHANG Jian   

    1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066,　P.R.China;
    2. College of Economics, Sichuan Normal University, Chengdu 610066, P.R.China；
    3. Software Laboratory, Sichuan Normal University, Chengdu 610066, P.R.China
  • Received:2003-10-24 Revised:2005-03-20 Online:2005-10-18 Published:2005-10-18
  • Contact: LI Xiao-guang

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Abstract: A coupled nonlinear Schrödinger equations is considered in 2-D space.Based upon the conservation of mass and energy, local identities is established by the study of the limit behavior of the solutions, and L2-concentration for the blow-up solutions with radially symmetry is obtained.  

Key words: nonlinear Schrö, L2-concentration, dinger equation, global existence, blow up, blow-up point

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