On Gevrey Regularity of Solutions for Inhomogeneous Nonlinear Moment Partial Differential Equations

Abstract

In this article we investigate Gevrey regularity of formal power series solutions for a certain class of nonlinear moment partial differential equations, the inhomogeneity of which is of a fixed Gevrey order with respect to the time variable. The results are a generalization of similar ones obtained for standard nonlinear partial differential equations as well as linear moment differential equations.