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带双势的非线性Schr dinger方程爆破解的L^2集中性质和L^2集中率

L^2 Concentration and the Rate of L^2 Concentration of Blow-up Solutions for the Nonlinear Schr dinger Equation with Double Potentials
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摘要 本文研究一类带双势的具有临界幂的非线性Schrodinger方程的初值问题.得到该方程爆破解的L2集中性质并在此基础上得到其爆破解为径向对称情形的L2集中速率.  This paper investigates the blow-up solutions for the nonlinear Schrodinger equation with double potentials. L^2 concentration and the rate of of L^2 concentration of blow-up solutions are established.
作者 冷礼辉 张健
出处 《应用数学学报》 CSCD 北大核心 2007年第5期800-809,共10页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10771151) 四川省杰出青年学科带头人基金资助项目.
关键词 非线性SCHRODINGER方程 双势 爆破解 L^2集中性质 L^2集中速率 nonlinear Schrodingerequation double potentials blow-up solutions L^2 concentration properties rate of L^2 concentration.
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参考文献11

  • 1Ginibre J,Velo G.On a Class of Nonlinear Schr(o)dinger Equation.:The Cauchy Problem.J.Funct.Ana.,1979,32:1-71
  • 2Weistein M I.Nonlinear Schr(o)dinger Equations and Sharp Interpolation Estimates.Comm.Math.Phys.,1983,87:567-576
  • 3Cazenave T.An Introduction to Nonlinear Schr(o)dinger Equation.Textos de Metodos Mathmatics,22 Rio de,Jaueiro,1989
  • 4Merle F,Tsutsumi Y.L2-concentration of Blow-up Solutions for the Nonlinear Schr(o)dinger Equation with Critical Power Nonlinearity.J.Diff.Eqs.,1990,84:205-214
  • 5Li XiaoGuang,Zhang Jian.L2 Concentration of Blow up Solutions for Nonlinear Schr(o)dinger Equation with Harmonic Potential.Chinese Journal.Contem.Math.,2005,26A:1-8
  • 6Zhang J.Sharp Conditions of Global Existence for Nonlinear Schr(o)dinger and Klein-Gorden Equations.Nonlinear Anal.,2002,48:191-207
  • 7Tsutsumi Y.Rate of L2-concentration of Blow-up Solutions for the Nonlinear Schr(o)dinger Equation with Critical Power.Nonlinear Anal.T.M.A.,1990,15:719-724
  • 8Kato Y.On Nonlinear Schr(o)dinger Equations.Ann.Inst.Henri Poincare Phys.Theorique,1987,46:113-129(1987)
  • 9Glangetas L,Merle F.Concentration Properties of Blow up Solutions and Instability Results for Zakharov Equations in Dimension Two,Part 2.Comm.Math.Phys.,1994,160:349-389
  • 10Merle F.Nonexistence of Minimal Blow-up Solutions of iut = -△u-k(x)|u|4/Nu Equations.Ann Inst Henri Poincare Theorique Physique Theorique,1996,64:33-85

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