Schrdinger-Poisson问题的整体古典解

Global Classical Solution of Schrdinger-Poisson Problem

本文研究双Ｓｃｈｒｏｄｉｎｇｅｒ方程序列和Ｐｏｉｓｓｏｎ方程耦合的方程组的初边值问题， 利用不动点定理和嵌入定理，证明了其整体古典解的存在唯一性．

The initial boundary value problem of Schrdinger-Poisson system is considered in this paper. The global existence and uniqeness of the classical solution for this problem is proved by using of the fixed point theorem and the imbedding theorem.