2023/09/04 by Remy, Pascal, Suwińska, Maria
#Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.2309.01702
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 σ-Gevrey with respect to the time variable t for a fixed σ≥ 0. The results are achieved by analyzing the geometric structure of the Newton polygon associated with the equation and are a generalization of similar results obtained for standard nonlinear partial differential equations as well as linear moment differential equations.