一类Schrodinger-Poisson型方程的稳定性

黄娟; 张健; 陈光淦

doi:10.3879/j.issn.1000-0887.2009.11.013

一类Schrodinger-Poisson型方程的稳定性

doi: 10.3879/j.issn.1000-0887.2009.11.013

四川师范大学数学与软件科学学院,成都 610066

基金项目: 国家自然科学基金资助项目(10771151;10901115);四川省教育厅(重点)科研基金资助项目(2006A063);四川省科技厅应用基础科研基金资助项目(07JY029-012)

详细信息

作者简介:
黄娟(1981- ),女,四川人,博士生(联系人.E-mail:huangjuanjunehuang@126.com).

中图分类号: O175
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- 被引次数: 0
出版历程
- 收稿日期: 2008-01-02
- 修回日期: 2009-08-19
- 刊出日期: 2009-11-15

Stability of Schr^Ldinger-Poisson Type Equations

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China

摘要

摘要: 运用变分法研究一类描述物理学中电磁波在原生质中传播过程的非线性Schrodinger-Poisson型方程．通过分析Hamilton性质和构造相应的变分问题，得到该系统基态的存在性．进而证明了该系统的基态是轨道稳定性
- Schrodinger-Poisson型方程 /
- 基态 /
- 存在性 /
- 轨道稳定
Abstract: Variationalm ethods were used to study the nonlinear Schr^Ldinger-Poisson type equations which model the electromagnetic wave propagates in the plasma in physics. Through analyzing the Hamiltonian property to construct a constrained variational problem, the existence of the ground state of the system was obtained. Furthermore, the ground state being orbitally stable was proved.
- Schr^Ldinger-Poisson type equations /
- ground state /
- existence /
- orbital stability

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参考文献(23)

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