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

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...

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Author: Carrillo Torres, Sergio Alejandro|||0000-0002-0479-4747
Format: article
Publication Date:2021
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:238068
Online Access:https://ddd.uab.cat/record/238068
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6512103
Access Level:Open access
Keyword:Monomial summability
Borel summability
Singularly perturbed pdes
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spelling Summability in a monomial for some classes of singularly perturbed partial differential equationsCarrillo Torres, Sergio Alejandro|||0000-0002-0479-4747Monomial summabilityBorel summabilitySingularly perturbed pdesThe 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. 22021-01-0120212021-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/238068https://dx.doi.org/urn:doi:10.5565/PUBLMAT6512103reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77642-C2-1-Popen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2380682026-06-06T12:50:31Z
dc.title.none.fl_str_mv Summability in a monomial for some classes of singularly perturbed partial differential equations
title Summability in a monomial for some classes of singularly perturbed partial differential equations
spellingShingle Summability in a monomial for some classes of singularly perturbed partial differential equations
Carrillo Torres, Sergio Alejandro|||0000-0002-0479-4747
Monomial summability
Borel summability
Singularly perturbed pdes
title_short Summability in a monomial for some classes of singularly perturbed partial differential equations
title_full Summability in a monomial for some classes of singularly perturbed partial differential equations
title_fullStr Summability in a monomial for some classes of singularly perturbed partial differential equations
title_full_unstemmed Summability in a monomial for some classes of singularly perturbed partial differential equations
title_sort Summability in a monomial for some classes of singularly perturbed partial differential equations
dc.creator.none.fl_str_mv Carrillo Torres, Sergio Alejandro|||0000-0002-0479-4747
author Carrillo Torres, Sergio Alejandro|||0000-0002-0479-4747
author_facet Carrillo Torres, Sergio Alejandro|||0000-0002-0479-4747
author_role author
dc.subject.none.fl_str_mv Monomial summability
Borel summability
Singularly perturbed pdes
topic Monomial summability
Borel summability
Singularly perturbed pdes
description 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.
publishDate 2021
dc.date.none.fl_str_mv 2
2021-01-01
2021
2021-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/238068
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6512103
url https://ddd.uab.cat/record/238068
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6512103
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77642-C2-1-P
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
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