The initial boundary value problem for quasi-linear Schrodinger-Poisson equations

被引：0

作者：

Hao, CC ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2006年 / 26卷 / 01期

关键词：

quasi-linear Schrodinger-Poisson system; Dirichlet boundary conditions; global existence and uniqueness;

D O I：

10.1016/S0252-9602(06)60033-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, the author studies the initial-(Dirichlet) boundary problem for a high-field version of the Schrodinger-Poisson equations, which include a nonlinear term in the Poisson equation corresponding to a field-dependent dielectric constant and an effective potential in the Schrodinger equations on the unit cube. A global existence and uniqueness is established for a solution to this problem.

引用

页码：115 / 124

页数：10

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