THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRÖDINGER EQUATIONS

Abstract

In this paper, the problem of a class of multidimensional fourthorder nonlinear Schrödinger equation including the derivatives of the unknown function in the nonlinear term is studied, and the existence of global weak solutions of nonlinear Schrödinger equation is proved by the Galerkin method according to the different values of <i>λ</i>.