THE INITIAL BOUNDARY VALUE PROBLEM FOR QUASI-LINEAR SCHRODINGER-POISSON EQUATIONS  

作　　者：郝成春 

机构地区：[1]Academy of Mathematics and Systems Science CAS

出　　处：《Acta Mathematica Scientia》2006年第1期115-124,共10页数学物理学报（B辑英文版）

摘　　要：In this article, the author studies the iuitial （Dirichlet.） boundary problem for a high field version of the 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. h global existence and uniqueness is established for a solution to this problem.In this article, the author studies the iuitial （Dirichlet.） boundary problem for a high field version of the 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. h global existence and uniqueness is established for a solution to this problem.

关 键 词：Quasi-linear Schroedinger-Poisson system Dirichlet boundary conditions global existence and uniqueness 

分 类 号：O175.8[理学—数学]