Gevrey estimates of formal solutions for certain moment partial differential equations with variable coefficients
Analysis of PDEs
2020-09-01 v2
Abstract
The goal of this paper is to investigate Gevrey properties of formal solutions of certain generalized linear partial differential equations with variable coefficients. In particular, we extend the notion of moment partial differential equations to include differential operators that are not connected with kernel functions. Using the modified version of Nagumo norms and the properties of the Newton polygon we compute the Gevrey estimate for formal solutions of such generalized partial differential equations.
Cite
@article{arxiv.2002.02845,
title = {Gevrey estimates of formal solutions for certain moment partial differential equations with variable coefficients},
author = {Maria Suwińska},
journal= {arXiv preprint arXiv:2002.02845},
year = {2020}
}
Comments
12 pages, 1 figure, minor typos and mistakes fixed