Acta mathematica scientia, Series B >
THE INITIAL BOUNDARY VALUE PROBLEM FOR QUASI-LINEAR SCHRODINGER-POISSON EQUATIONS
Received date: 2003-06-20
Revised date: 2003-10-31
Online published: 2006-01-20
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.
Hao Chengchun . THE INITIAL BOUNDARY VALUE PROBLEM FOR QUASI-LINEAR SCHRODINGER-POISSON EQUATIONS[J]. Acta mathematica scientia, Series B, 2006 , 26(1) : 115 -124 . DOI: 10.1016/S0252-9602(06)60033-7
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