Formal P-Gevrey Series Solutions of First-Order Holomorphic PDEs

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 01 Mar 2022Embargo end date: 01 Jan 2020 English Publisher:WORLD SCIENTIFIC (EUROPE)

Authors: Carrillo, Sergio A.; Hurtado, Carlos A.;

doi: 10.1142/9781800611368_0016 , 10.48550/arxiv.2002.04404

arXiv: 2002.04404

Formal P-Gevrey Series Solutions of First-Order Holomorphic PDEs

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Abstract

We provide a complete and self-contained proof of the Gevrey character, in an analytic function $P$, 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.

Related Organizations

Sergio Arboleda University
Colombia
Private University of the North
Peru

Keywords

Mathematics - Analysis of PDEs, Primary 35F35, Secondary 35F05, 35C10, 34M25, 34M60, FOS: Mathematics, Analysis of PDEs (math.AP)

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