%0 Journal Article
%T The Study on Schr dinger-Poisson Systems<br>关于Schr dinger-Poisson系统的研究（英文）
%A HAO Cheng-Chun
%A HSIAO Ling
%A <br>郝成春
%A 肖 玲
%J 中国科学院研究生院学报
%D 2005
%I 
%X We studied the bipolar (defocusing nonlinear) Schr¨odinger-Poisson system and quasi-linear Schr¨odinger-Poisson equations. We constructed the wellposedness, large time behavior and modified scattering theory for Cauchy problem of the bipolar (defocusing nonlinear) Schr¨odinger-Poisson systems. We also discussed the initial-(Dirichlet) boundary problem for a high field version of the Schr¨odinger-Poisson equations, quasi-linear Schr¨odinger-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¨odinger equations on the unit cube.
%K the bipolar defocusing nonlinear Schr¨odinger-Poisson system
%K the quasi-linear Schr¨odinger-Poisson systems
%K Wellposedness of Cauchy problems
%K Initial boundary value problem<br>双极Schr(o)dinger-Poisson系统
%K 拟线性Schr(o)dinger-Poisson方程组
%K 初值问题适定性
%K 初边值问题
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=B5EDD921F3D863E289B22F36E70174A7007B5F5E43D63598017D41BB67247657&cid=B47B31F6349F979B&jid=67CDFDECD959936E166E0F72DE972847&aid=D34DF1E7ECDAC046&yid=2DD7160C83D0ACED&vid=CA4FD0336C81A37A&iid=94C357A881DFC066&sid=46C2A519EDDA03DD&eid=0636354D8CF77519&journal_id=1002-1175&journal_name=中国科学院研究生院学报&referenced_num=0&reference_num=0