一类Schrdinger-Poisson型方程的稳定性  

Stability of Schrdinger-Poisson Type Equations

作　　者：黄娟[1] 张健[1] 陈光淦[1] 

机构地区：[1]四川师范大学数学与软件科学学院,成都610066

出　　处：《应用数学和力学》2009年第11期1381-1386,共6页Applied Mathematics and Mechanics

基　　金：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)

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Schrdinger-Pois-son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.Variational methods were used to study the nonlinear Schroedinger-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 orbitaUy stable was proved.

关 键 词：Schroedinger—Poisson型方程 基态 存在性 轨道稳定 

分 类 号：O175[理学—数学]