一类非线性Schrodinger方程组的初边值问题

The initial-boundary value problem for the system of nonlinear Schrodinger equations

本文考虑下列具有磁效应项的非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程组的初边值问题：这里是具有光滑边界Ω的有界区域，ａ为常数，在适当条件下，我们证明了问题（＊）的整体解的存在、唯一性。

In this paper,we consider the following initial-boundary value problem for the sys-tem of nonlinear Schrodinger equation with magnetic effect term.where ,Ω is a bounded domain in R￣2 with smooth boundary Ω.Under some appropriate conditions we prove the existence and uniqueness of the global solu-tion for the proble(*).