S. A. Carrillo

activity

20162026

most citedAn extension of Borel-Laplace methods and monomial summability

13 citations · 34 across the 11 of their papers we have counts for

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math.AP2021

Formal Gevrey solutions -- in analytic germs -- for higher order holomorphic PDEs

Sergio A. Carrillo, Alberto Lastra

We consider a family of holomorphic PDEs whose singular locus is given by the zero set of an analytic map $P$ with $P (0) = 0$ . Our goal is to establish conditions for the existence a…

math.AP2020

Formal $P$ -Gevrey series solutions of first order holomorphic PDEs

Sergio A. Carrillo, Carlos A. Hurtado

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 PD…

Formal Gevrey solutions -- in analytic germs -- for higher order holomorphic PDEs

Formal P-Gevrey series solutions of first order holomorphic PDEs

Formal $P$ -Gevrey series solutions of first order holomorphic PDEs