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带排斥势的非线性Schrdinger方程爆破解的L^2集中率

Rate of L^2-Concentration of Blow Up Solutions for Nonlinear Schrdinger Equation with Repusilve Potential
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摘要 本文在RN(N≥2)中研究了临界带排斥势的非线性Schrdinger方程的爆破解,建立了其径向对称爆破解的集中速率的下界. This paper is concerned with blow-up solntion of critical nonlinear Schrodinger equation with repusilve potential in R^N（N ≥ 2）, The lower bound of the L^2 - Concentration rate of the blow-up solution with radially symmetry is established
作者 罗宏
机构地区 四川师范大学数学与软件科学学院
出处 《应用数学》 CSCD 北大核心 2008年第4期712-717,共6页 Mathematica Applicata
基金 国家自然科学基金(13076033) 四川省教育厅自然科学重点基金(2004C013)
关键词 非线性SCHRODINGER方程 爆破 L^2-集中率 Nonlinear Schrodinger equation Repusilve potential Blow up Rate of L^2 concentration
分类号 O175.24 [理学—基础数学]
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参考文献16

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二级参考文献8

  • 1舒级,成和平.一类带外部磁场的非线性Schrdinger方程解的爆破和整体存在[J].四川师范大学学报（自然科学版）,2006,29(5):512-515. 被引量：3
  • 2孟宪良,蒋毅,蒲志林.一类非线性Klein-Gordon方程组的整体解和爆破解[J].四川师范大学学报（自然科学版）,2006,29(5):526-529. 被引量：2
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  • 5Ogawa T, Tsutsumi Y. Blow-up for H^1 solution for the nonlinear Schrodinger equation with critical power nonlinearity[ J]. Proc Am Math Soc,1991,111:487-496.
  • 6Zhang J. Sharp conditions of global existence for nonlinear Schrodinger and Klein-Gordon equations [ J ]. Nonlinear Anal TMA, 2002,48 : 191-207.
  • 7Tsutsumi Y. Rate of concentration of blow-up solutions for the nonlinear Schrodinger equation with critical power[ J]. Nonlinear Anal TMA, 1990,15:719-724.
  • 8Caries R. Nonlinear Schrodinger equations with repulsive harmonic potential and applications[J]. SIAM J Math Anal,2003,35: 823 -843.

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应用数学
2008年 第4期

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