关于Schrdinger-Poisson系统的研究(英文)  

Studies on Schrdinger-Poisson Systems

作　　者：郝成春[1] 肖玲[1] 

机构地区：[1]中国科学院数学与系统科学研究院,北京100080

出　　处：《中国科学院研究生院学报》2005年第5期639-644,共6页Journal of the Graduate School of the Chinese Academy of Sciences

摘　　要：研究了双极(非线性)Schrdinger-Poisson系统和拟线性Schrdinger-Poisson方程,得到了双极Schrdinger-Poisson系统的整体适定性及其修正散射理论,以及单位方体上的具有Dirichlet边值条件的拟线性Schrdinger-Poisson方程的初边值问题整体解的存在唯一性.The bipolar（defocusing nonlinear）Schrfidinger-Poisson system and quasi-linear SchroedingerPoisson equations are studied. The wellposedness, large time behavior and modified scattering theory is established for the Cauchy problem to the bipolar（defocusing nonlinear）Schrfidinger-Poisson systems. The initial-（Dirichlet） boundary problem for a high field version of the SchrSdinger-Poisson equations, quasilinear Schroedinger-Poisson equations, which include a nonlinear term in the Poisson equation corresponding to a field-dependent dielectric constant ＇and an effective potential in the Schroedinger equations on the unit cube are also discussed.

关 键 词：双极Schroedinger—Poisson系统 拟线性Schroedinger-Poisson方程组 初值问题适定性 初边值问题 

分 类 号：O175[理学—数学]