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

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

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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.

作者郝成春

机构地区 Academy of Mathematics and Systems Science CAS

出处《Acta Mathematica Scientia》 SCIE CSCD 2006年第1期115-124,共10页 数学物理学报（B辑英文版）

关键词 Quasi-linear Schroedinger-Poisson system Dirichlet boundary conditions global existence and uniqueness Quasi-linear Schroedinger-Poisson system, Dirichlet boundary conditions,global existence and uniqueness

分类号 O175.8 [理学—基础数学]

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2006年第1期

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

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