THE CAUCHY PROBLEM FOR GENERAL COUPLEDMAXWELL-SCHR■DINGER EQUATIONS (II)

This is a continuation of an earlier paper "The Cauchy Problem for General Coupled Maxwell-Schrdinger Equations (I)[1]. It is devoted to the study of the global existence of the Cauchy problem for general coupled Maxwell-Schrdinger equations.Applying the quasi-energy method introduced by V. Moncerief[2], we obtain the global existence of Cauchy problem for general coupled Maxwell-Schrdinger equations under Lorentz gauge when the spatial dimensions are one or two.