Stability of SchrLdinger-Poisson Type Equations
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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
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关键词:
- Schrodinger-Poisson型方程 /
- 基态 /
- 存在性 /
- 轨道稳定
Abstract: Variationalm ethods were used to study the nonlinear SchrLdinger-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.-
Key words:
- SchrLdinger-Poisson type equations /
- ground state /
- existence /
- orbital stability
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