The global Cauchy problems for the nonlinear dispersive equations on modulation spaces

In this paper, we discuss decay estimates and Strichartz estimates for dispersive equations with non-homogeneous symbols on modulation spaces M p , q s to obtain the global well-posedness of the Cauchy problems for nonlinear dispersive equations. As a result, we have a generalization of the result in [19] which treated the Schrِdinger equations with a nonlinearity of wider class.