郝成春的个人主页 | Chengchun HAO's Homepage
研究员、博士生导师,中国科学院数学与系统科学研究院 数学研究所 | Professor, Institute of Mathematics, AMSS, CAS
The initial boundary value problem for quasi-linear Schrödinger-Poisson equations
Chengchun Hao
Acta Mathematica Scientia, Volume 26, Issue 1, 2006, Pages 115–124
Abstract:In this article, the author studies the initial-(Dirichlet) boundary problem for a high-field version of the 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. A global existence and uniqueness is established for a solution to this problem.