一类多维的非线性Schrdinger方程组的初边值问题

THE INITIAL BOUNDARY VALUE PROBLEM FOR A CLASS OF SYSTEM OF MULTIDIMENSIONAL NONLINEAR SCHRODINGER EQUATIONS

本文考虑一类具有耗散与磁场效应的多维非线性Schrdinger型方程组的初边值问题。使用积分估计(包括L^p—L^q估计)证明了整体解的存在性。

This paper considers the initial-boundary value problem for a class of system of muhidimensional nonlinear Schrodinger equations with magnetic effects and dissipative. The existence of the global solution for this problem is proved by the integral estimations (including L^p- L^q estimations) method.