Formal $P$-Gevrey series solutions of first order holomorphic PDEs
Analysis of PDEs
2022-01-06 v3
Abstract
We provide a complete and self-contained proof of the Gevrey character, in an analytic function , of formal power series solutions of some families of first order holomorphic PDEs. Our approach is based on a majorant series technique by applying Nagumo norms joint with a division algorithm.
Keywords
Cite
@article{arxiv.2002.04404,
title = {Formal $P$-Gevrey series solutions of first order holomorphic PDEs},
author = {Sergio A. Carrillo and Carlos A. Hurtado},
journal= {arXiv preprint arXiv:2002.04404},
year = {2022}
}