Summability in a monomial for some classes of singularly perturbed partial differential equations
Carrillo Torres, Sergio Alejandro ![ORCID Identifier](/img/uab/orcid.ico)
(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. ![](/img/licenses/InC.ico) |
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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Record created 2021-03-25, last modified 2023-12-01