A remark on the well-posedness of the degenerated Zakharov system

Abstract

We extend the local well-posedness theory for the Cauchy problem associated to a degenerated Zakharov system. The new main ingredients are the derivation of Strichartz and maximal function norm estimates for the linear solution of a Schrodinger type equation with missing dispersion in one direction. The result here improves the one in [11].