Stochastic Evolution Equations with Values on the Dual of a Countably Hilbert Nuclear Space.

Abstract : The work begins a study of stochastic evolution equations (SEE) driven by nuclear space valued martingales. The existence and uniqueness of solutions of perturbed SEE's is also considered. An illustration of the equations treated here is the SEE obtained by Mitoma in connection with the central limit theorem for the propagation of chaos.