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带双势的非线性Schrdinger方程解的坍塌性质 被引量：3

Collapse of Solutions for Nonlinear Schrdinger Equations with Double Potentials
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摘要 研究一类带双势的非线性Schr dinger方程.通过对势函数V(x)和K(x)作适当假设,运用能量方法和一些先验估计式,得到了该Schr dinger方程初值问题的解在有限时间内坍塌的充分条件为E(0)<0x0 0dx [2E(0)∫RNx0 0dx>0或E(0)>0,hIm∫RN或E(0)=0,h2Im∫RN｜x｜2｜0｜2dx]12. This paper is concerned with a class of nonlinear Schrdinger equations with double potentials. Under suitable assumptions on potential functions V(x) and K(x), using energy method and some prior estimates, we prove that the following conditions are sufficient for the solution of the initial value problem of the Schrdinger equation to blow up in a finite time:E(_0)<0 or E(_0)=0,h^2Im∫_(R^N)x_0(_0)dx>0 or E(_0)>0,hIm∫_(R^N)x_0(_0)dx[2E(_0)∫_(R^N)|x|~2|_0|~2dx]^(12).
作者 陈渝芝
机构地区 重庆工学院数理学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 2004年第4期378-381,共4页 Journal of Sichuan Normal University（Natural Science）
关键词 Schr6dinger方程 双势 能量方法 势函数 Schrdinger equation Double potentials Energy method Potential function
分类号 O175.26 [理学—基础数学]
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共引文献45

同被引文献25

  • 1舒级,张健.吸引玻色爱因斯坦凝聚的坍塌性质[J].四川师范大学学报（自然科学版）,2004,27(4):331-334. 被引量：8
  • 2刘倩,张健.一类带无界势的非线性Schrdinger方程的整体解[J].四川师范大学学报（自然科学版）,2005,28(4):394-396. 被引量：3
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引证文献3

二级引证文献7

四川师范大学学报（自然科学版）
2004年 第4期

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