GLOBAL SMOOTH SOLUTION FOR THE KLEIN-GORDON-ZAKHAROV EQUATIONS

In this paper the initial value problem to the Klein-Gordon-Zakharov e quations in two dimensions is discussed. Without assuming that the Cau chy data are small, we prove the existence and uniqueness of the globa l smooth solution for the problem via the so-called continuous method and delicate a priori estimates. Also the asymptotic behaviour of the solution to the K-G-Z equations with a small parameter approaching zer o is studied. (C) 1995 American Institute of Physics.