dc.contributor.author | Lastra Sedano, Alberto | |
dc.contributor.author | Malek, Stephane | |
dc.date.accessioned | 2020-03-06T18:08:56Z | |
dc.date.available | 2020-03-06T18:08:56Z | |
dc.date.issued | 2018-10-23 | |
dc.identifier.bibliographicCitation | Lastra, A. & Malek, S. 2018, “On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms”, Advances in Difference Equations, vol. 2018, art. 386. | |
dc.identifier.issn | 1687-1839 | |
dc.identifier.uri | http://hdl.handle.net/10017/41476 | |
dc.description.abstract | This paper is a continuation of the work (Lastra and Malek in J. Differ. Equ. 259(10):5220-5270, 2015) where singularly perturbed nonlinear PDEs have been studied from an asymptotic point of view. Here, the partial differential operators are combined with particular Moebius transforms in the time variable. As a result, the leading term of the main problem needs to be regularized by means of a singularly perturbed infinite order formal irregular operator that allows us to construct a set of genuine solutions in the form of a Laplace transform in time and an inverse Fourier transform in space. Furthermore, we obtain Gevrey asymptotic expansions for these solutions of some order K > 1 in the perturbation parameter. | 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 Open | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject | Asymptotic expansion | en |
dc.subject | Borel-Laplace transform | en |
dc.subject | Fourier transform | en |
dc.subject | Initial value problem | en |
dc.subject | Difference equation | en |
dc.subject | Formal power series | en |
dc.subject | Nonlinear integro-differential equation | en |
dc.subject | Nonlinear partial differential equation | en |
dc.subject | Singular perturbation | en |
dc.title | On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms | 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 | 2020-03-06T18:03:00Z | |
dc.relation.publisherversion | https://doi.org/10.1186/s13662-018-1847-9 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | en |
dc.identifier.doi | 10.1186/s13662-018-1847-9 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-77642-C2-1-P/ES/Algebra y geometría en sistemas dinámicos y foliaciones singulares/ | en |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/0000030058 | |
dc.identifier.publicationtitle | Advances in Difference Equations | en |
dc.identifier.publicationvolume | 2018 | |
dc.identifier.publicationlastpage | 40 | |
dc.identifier.publicationissue | 386 | |
dc.identifier.publicationfirstpage | 1 | |