具耗散项的非线性Schr dinger型方程组的整体解

On the Global Solution for the Damped Nonlinear Schr dinger Equations

考虑具耗散项的多维非线性Schr dinger型方程组的Cauchy问题.在初值■的较弱的条件下,得到了不限制空间维数n的整体弱解的存在唯一性和能量守恒式.

In this paper we consider the Cauchy problem for a class of system of multidimensional nonlinear Schrdinger equations.We study the existence and uniqueness of the global solu-tion for the problem,when ■and dimension of the space is arbi-trary.