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关于带调和势的非线性Schrdinger方程的爆破解

On the blow-up solutions of nonlinear Schrdinger equation with a harmonic potential
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摘要 作者研究了带调和势的临界非线性Schrdinger方程的爆破解.利用先验估计和插值估计,作者得到原点是径向对称爆破解的唯一爆破点,进一步,利用谱性质得到了方程爆破解的L^p模的下界估计. This paper is concerned with the blow-up solutions of the critical nonlinear Schrodinger equation with a harmonic potential. Applying the prior estimate and interpolation estimate, it is obtained that the origin is the unique blow-up point. Moreover,using the spectral property,the lower bound of the Lp norm of blowup solution is obtained.
作者 朱世辉 张健
机构地区 四川大学数学学院 四川师范大学数学与软件科学学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第5期1251-1256,共6页 Journal of Sichuan University(Natural Science Edition)
基金 国家自然科学基金(10771151 10747148)
关键词 非线性 Schrdinger 方程 BOSE-EINSTEIN 凝聚 调和势 爆破速率 nonlinear Schrodinger equation, harmonic potential, Bose-Einstein condensate, blow-up rate
分类号 O175.27 [理学—基础数学]
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参考文献19

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  • 9李晓光,张健,陈光淦.带调和势的非线性Schrdinger方程爆破解的L^2集中性质[J].数学年刊（A辑）,2005,26(1):31-38. 被引量：7
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二级参考文献20

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共引文献8

四川大学学报（自然科学版）
2009年 第5期

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