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Stability of Schrodinger-Poisson type equations
  • 期刊名称：Appl. Math. Mech. -Engl. Ed.
  • 时间：0
  • 页码：1469-1474
  • 分类：O413.1[理学—理论物理;理学—物理] G633.6[文化科学—教育学]
  • 作者机构：[1]College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066,P. R. China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Nos. 10771151 and 10901115）, the Scientific Research Fund of Sichuan Provincial Education Department （No. 2006A063）, and the Scientific Research Fund of Science and Technology Bureau of Sichuan Province （No. 07JY029-012）
  • 相关项目：与玻色-爱因斯坦凝聚相关的确定与不确定系统孤立子的动力学行为
作者： Juan Huang|Jian Zhang|Guanggan Chen|
关键词： 稳定性, 薛定谔, 方程, 泊松型, 等离子体物理, 泊松模型, 变分方法, 变分问题, Schrodinger-Poisson type equations, ground state, existence, orbital stability
中文摘要：

Corresponding author Juan HUANG, Ph.D., E-mail： huangjuanjunehuang@126.com

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带无界势的阻尼非线性Schrodinger方程的整体存在性
带加性噪声的随机非线性Klein-Gordon 方程
The Cauchy problem of a focusing energy-critical nonlinear Schrodinger equation
一类具扰动项的Hartree方程驻波的强不稳定性
一类Schroedinger—Poisson型方程的稳定性
Sharp threshold of global existence and instability of standing wave for a Davey-Stewartson system
Sharp conditions of global existence for the quasilinear Schrodinger equation
Energy criteria of global existence for the coupled nonlinear Schrodinger equations with harmonic po
Cross-constrained variational problem and the nonlinear Klein-Gordon equations
二维空间中一类具临界幂的耦合非线性波动系统的爆破解
Gross-Pitaevskii方程爆破解的极限图景
Blow-up rate for critical nonlinear Schrodinger equation with Stark potential
Stability of standing waves for nonlinear defocusing fourth-order dispersive Schrodinger equation wi
Energy criterion of global existence for energy-critical Schrodinger equations with subcritical pert
2维Zakharov方程组爆破解的L~2集中率
Instability of the standing waves for nonlinear Klein-Gordon equations with damping term
Stability of the standing waves for a class of coupled nonlinear Klein-Gordon equations
A sharp threshold of blow-up for coupled nonlinear Schrodinger equations
$L^{p_c}$-concentration of blow-up solutions for the biharmonic nonlinear Schr\"{o}dinger equation
Upper bound of weak-limitation for the Gross-Pitaevskii equation
一类带乘性噪声的随机非线性Schrdinger方程的整体解(英文)
带调和势的随机非线性Schrdinger方程解的爆破(英文)
带调和势非线性Schrodinger方程组的驻波非线性不稳定性
Global existence for a system of weakly coupled nonlinear Schrodinger equations
Sharp threshold of global existence for the Klein-Gordon equations with critical nonlinearity
Blowup in finite time for the Zakharov system
Sharp threshold of global existence for the generalized Davey-Stewartson system in $R^2$
A small initial data criterion of global existence for the damped nonlinear Schrodinger equation
Standing waves and global existence for the nonlinear wave equation with potential and damping terms
A cross-constrained variational problem for the generalized Davey-Stewartson system
Blowup and global existence of the nonlinear Schrodinger equations with multiple potentials
Orbital instability for standing waves for the Klein-Gordon-Zakharov system
Mathematical analysis of the collapse in Bose-Einstein Condensate
Sharp criterion of global existence for nonlinear Schrodinger equation with harmonic potential
Instability of standing waves for a weakly coupled nonlinear Schrodinger system
Remarks on the blow-up rate for critical nonlinear Schrodinger equation with harmonic potential
一类具非齐次项的非线性Schrdinger方程整体解存在的最佳条件
带调和势的临界非线性Schr(o|¨)dinger方程的爆破解
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具弱耗散项的非线性Hartree方程
一类带乘性噪声的随机非线性Schrdinger方程的整体解
一类Schroedinger—Poisson型方程的稳定性
Bose-Einstein凝聚中一类非线性Schrodinger方程的门槛条件
具有强阻尼项和非线性阻尼项的波动方程解的整体存在性和有限时间爆破
Orbital Instability of Standing Waves for the Klein-Gordon-Zakharov System
关于带调和势的非线性Schrdinger方程的爆破解
带有阻尼项的非线性Klein-Gordon方程整体解存在的最佳条件
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广义（3＋1）维立方Schr／sdinger方程新的精确解
2维Zakharov方程组爆破解的L^2集中率
一类带势的非线性Schrodinger方程对称爆破解的L^2集中性质
ORBITAL INSTABILITY OF STANDING WAVES FOR THE COUPLED NONLINEAR KLEIN-GORDON EQUATIONS
带竞争势的非线性Klein—Gordon方程的稳定集和不稳定集
一类具非齐次项的非线性Schrǒdinger方程整体解存在的最佳条件
一类带调和势的阻尼非线性Schrǒdinger方程的爆破性质
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