LINEAR APPROXIMATION OF NONLINEAR SCHRÖDINGER EQUATIONS DRIVEN BY CYLINDRICAL WIENER PROCESSES

摘要

In this paper the existence and uniqueness of the solution for a stochastic nonlinear Schrödinger equation, which is perturbed by a cylindrical Wiener process is investigated. The existence of the variational solution and of the generalized weak solution are proved by using sequences of successive approximations, which are the solutions of certain linear problems.