Summability in a monomial for some classes of singularly perturbed partial differential equations
Carrillo Torres, Sergio Alejandro (Universidad Sergio Arboleda (Bogotà, Colòmbia). Escuela de Ciencias Exactas e Ingeniería)

Date:	2021
Abstract:	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.
Grants:	Ministerio de Economía y Competitividad MTM2016-77642-C2-1-P
Note:	Supported by the Austrian FWF-Project P 26735-N25 under P. I. Armin Rainer. Partially supported by the Ministerio de Economía y Competitividad from Spain, under the Project "Algebra y geometría en sistemas dinámicos y foliaciones singulares" (Ref.: MTM2016-77642-C2-1-P).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Monomial summability ; Borel summability ; Singularly perturbed pdes
Published in:	Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 83-127 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/383651
DOI: 10.5565/PUBLMAT6512103
DOI: 10.5565/publicacionsmatematiques.v65i1.383651

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