Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664997 | Acta Mathematica Scientia | 2006 | 10 Pages |
Abstract
In this article, the author studies the initial-(Dirichlet) boundary problem for a high-field version of the Schrödinger-Poisson equations, which include a nonlinear term in the Poisson equation corresponding to a field-dependent dielectric constant and an effective potential in the Schrödinger equations on the unit cube. A global existence and uniqueness is established for a solution to this problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)