Summability in a monomial for some classes of singularly perturbed partial differential equations

  1. Carrillo Torres, Sergio Alejandro
Revista:
Publicacions matematiques

ISSN: 0214-1493

Año de publicación: 2021

Volumen: 65

Número: 1

Páginas: 83-127

Tipo: Artículo

DOI: 10.5565/PUBLICACIONSMATEMATIQUES.V65I1.383651 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Otras publicaciones en: Publicacions matematiques

Resumen

The aim of this paper is to continue the study of asymptotic expansions and summability in a monomial in any number of variables, as introduced in [3, 15]. In particular, we characterize these expansions in terms of bounded derivatives and we develop Tauberian theorems for the summability processes involved. Furthermore,we develop and apply the Borel–Laplace analysis in this framework to prove the monomial summability of solutions of a specific class of singularly perturbed PDEs.

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