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| 关于Schr dinger-Poisson系统的研究(英文) | |
| 作者姓名： | 郝成春 肖玲 |
| 作者单位： | 中国科学院数学与系统科学研究院, 北京 100080 |
| 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. |
| 关 键 词： | 双极Schr dinger-Poisson系统 拟线性Schr dinger-Poisson方程组 初值问题适定性 初边值问题 |
| 收稿时间： | 2005-01-25 |
Studies on Schr dinger-Poisson Systems |
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| Authors: | HAO Cheng-Chun XIAO Ling |
| Institution: | Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | 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. |
| Keywords: | the bipolar defocusing nonlinear Schr dinger-Poisson system the quas-i linear Schr dinger-Poisson systems wellposedness of Cauchy problems initial boundary value problem |
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