Studies on Schr dinger-Poisson Systems
Received date: 2005-01-25
Online published: 2005-09-15
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.
郝成春 , 肖玲 . 关于Schr dinger-Poisson系统的研究(英文)[J]. 中国科学院大学学报, 2005 , 22(5) : 639 -644 . DOI: 10.7523/j.issn.2095-6134.2005.5.014
The bipolar(defocusing nonlinear) Schr dinger-Poisson system and quasilinear Schr dinger-Poisson equations are studied. The wellposedness, large time behavior and modified scattering theory is established for the Cauchy problem to the bipolar(defocusing nonlinear) Schr dinger-Poisson systems. The initia-l (Dirichlet) boundary problem for a high field version of the Schr dinger-Poisson equat ions, quas-i linear Schr dinger-Poisson equat ions, which include a nonlinear term in the Poisson equation corresponding to a field-dependent dielectric constant and an effect ive potent ial in the Schr dinger equations on the unit cube are also discussed.
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