Formal P-gevrey series solutions of first-order holomorphic PDEs

Carrillo S.A.; Hurtado C.A. · Formal and Analytic Solutions of Differential Equations (2022) · DOI: 10.1142/9781800611368_0016

Resumen

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.

Instituciones: Universidad Privada del Norte