| 关于Schr(o)dinger-Poisson系统的研究 |
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| 引用本文： | 郝成春,肖玲.关于Schr(o)dinger-Poisson系统的研究[J].中国科学院研究生院学报,2005,22(5). |
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| 作者姓名： | 郝成春 肖玲 |
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| 摘 要： | 研究了双极(非线性)Schr(o)dinger-Poisson系统和拟线性Schr(o)dinger-Poisson方程,得到了双极Schr(o)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(o)dinger-Poisson方程的初边值问题整体解的存在唯一性.
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| 关 键 词： | 双极Schr(o)dinger-Poisson系统 拟线性Schr(o)dinger-Poisson方程组 初值问题适定性 初边值问题 |
Studies on Schr(o)dinger-Poisson Systems |
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| HSIAO Ling,HAO Cheng-Chun.Studies on Schr(o)dinger-Poisson Systems[J].Journal of the Graduate School of the Chinese Academy of Sciences,2005,22(5). |
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| Authors: | HSIAO Ling HAO Cheng-Chun |
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| Abstract: | The bipolar(defocusing nonlinear)Schrodinger-Poisson system and quasi-linear Schr(o)dingerPoisson equations are studied. The wellposedness, large time behavior and modified scattering theory is established for the Cauchy problem to the bipolar(defocusing nonlinear)Schr(o)dinger-Poisson systems. The initial-(Dirichlet) boundary problem for a high field version of the Schr(o)dinger-Poisson equations, quasilinear Schr(o)dinger-Poisson equations, which include a nonlinear term in the Poisson equation corresponding to a field-dependent dielectric constant and an effective potential in the Schr(o)dinger equations on the unit cube are also discussed. |
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| Keywords: | the bipolar defocusing nonlinear Schr(o)dinger-Poisson system the quasi-linear Schr(o)dingerPoisson systems wellposedness of Cauchy problems initial boundary value problem |
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