dc.contributor.author | Lastra Sedano, Alberto | |
dc.contributor.author | Malek, Stephane | |
dc.contributor.author | Sanz, Javier | |
dc.date.accessioned | 2020-03-05T16:02:29Z | |
dc.date.available | 2020-03-05T16:02:29Z | |
dc.date.issued | 2016-11-01 | |
dc.identifier.bibliographicCitation | Lastra, A., Malek, S. & Sanz, J. 2016, “Strongly regular multi-level solutions of singularly perturbed linear partial differential equations”, Results in Mathematics, 2016, vol. 70, pp. 581-614. | |
dc.identifier.issn | 1422-6383 | |
dc.identifier.uri | http://hdl.handle.net/10017/41438 | |
dc.description.abstract | We study the asymptotic behavior of the solutions related to a family of singularly perturbed partial differential equations in the complex domain. The analytic solutions are asymptotically represented by a formal power series in the perturbation parameter. The geometry of the problem and the nature of the elements involved in it give rise to different asymptotic levels related to the so-called strongly regular sequences. The result leans on a novel version of amulti-level Ramis-Sibuya theorem. | en |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Springer Verlag | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights | © 2016 Springer Verlag | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject | Linear partial differential equations | en |
dc.subject | Singular perturbations | en |
dc.subject | Formal power series | en |
dc.subject | Borel-Laplace transform | en |
dc.subject | Borel summability | en |
dc.subject | Gevrey asymptotic expansions | en |
dc.subject | Strongly regular sequence | en |
dc.title | Strongly regular multi-level solutions of singularly perturbed linear partial differential equations | en |
dc.type | info:eu-repo/semantics/article | en |
dc.subject.eciencia | Matemáticas | es_ES |
dc.subject.eciencia | Mathematics | en |
dc.contributor.affiliation | Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas | es_ES |
dc.date.updated | 2020-03-05T15:58:27Z | |
dc.relation.publisherversion | https://doi.org/10.1007/s00025-015-0493-8 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.identifier.doi | 10.1007/s00025-015-0493-8 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2012-31439/ES/ANALISIS DE PERTURBACIONES SINGULARES: ESTUDIO ASINTOTICO, CAPAS LIMITE Y FENOMENOS MULTIESCALA/ | en |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/0000029642 | |
dc.identifier.publicationtitle | Results in Mathematics | en |
dc.identifier.publicationvolume | 70 | |
dc.identifier.publicationlastpage | 614 | |
dc.identifier.publicationfirstpage | 581 | |