INITIAL BOUNDARY VALUE PROBLEM FOR ONE CLASS OF SYSTEM OF MULTIDIMENSIONAL NONLINEAR SCHRODINGER EQUATIONS WITH WAVE OPERATOR

<正>In this paper, we have proved the existence and uniqueness of the generalized and strong solutions for the initial-boundary value problem of one class of the system of multidimensional nonlinear Schr(?)dinger equations with wave operator by means of the Galerkin method, and have discussed the regularity of the solution. For one-dimensional case, the existence of the smooth solution under weaker assumptions is obtained.