Upper and lower bound of the blow-up rate for nonlinear Schrodinger equation with a harmonic potential

Liu Q; Zhou YQ; Zhang J

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Upper and lower bound of the blow-up rate for nonlinear Schrodinger equation with a harmonic potential

机译：具有谐波势的非线性薛定inger方程爆破率的上界和下界

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摘要

For the nonlinear Schrodinger equation with a harmonic potential which describes Bose-Einstein condensates, we establish an upper bound and a lower bound of the blow-up rate. (c) 2005 Elsevier Inc. All rights reserved.

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来源
《Applied mathematics and computation》 |2006年第2期|共12页
作者
Liu Q; Zhou YQ; Zhang J;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
blow-up rate; nonlinear Schrodinger equation; harmonic potential; Bose-Einstein condensates; CAUCHY-PROBLEM; CONDENSATE; STABILITY; NUMBER;

机译：爆破率非线性Schrodinger方程谐和势玻色-爱因斯坦凝聚体柯西问题凝聚体稳定性数值;

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专利

1. Upper and lower bound of the blow-up rate for nonlinear Schrodinger equation with a harmonic potential [J] . Liu Q, Zhou YQ, Zhang J Applied mathematics and computation . 2006,第2期

机译：具有谐波势的非线性薛定inger方程爆破率的上界和下界
2. Sharp upper bound on the blow-up rate for the critical nonlinear Schrodinger equation [J] . Merle F., Raphael P. Geometric and functional analysis: GAFA . 2003,第3期

机译：临界非线性Schrodinger方程的爆破速率的尖锐上限
3. Remarks on the blow-up rate for critical nonlinear Schrodinger equation with harmonic potential [J] . Zhang J, Li XG, Wu YH Applied mathematics and computation . 2009,第2期

机译：关于具有谐波势的临界非线性薛定inger方程的爆破率
4. Nonlinear Schrodinger equation with combined power-type nonlinearities and harmonic potential [C] . Xiaoli Jiang, Xuemei Wang, Runzhang Xu International Conference on Multimedia Technology . 2011

机译：具有型功率型非线性和谐波潜力的非线性Schrodinger方程
5. Nonlinear Schrodinger equations with potentials: Evolution, existence and stability of semiclassical bound states. [D] . Oh, Yong-Geun. 1988

机译：具有势能的非线性Schrodinger方程：半经典束缚态的演化，存在和稳定性。
6. Blow-up of solutions of nonlinear wave equations in three space dimensions [O] . Fritz John 1979

机译：三维空间中非线性波动方程解的爆破
7. The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation [O] . Frank Merle, Pierre Raphael 2005

机译：关键非线性schrödinger方程爆破率的爆破动态和上界

Upper and lower bound of the blow-up rate for nonlinear Schrodinger equation with a harmonic potential

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