dc.contributor.author | Lastra Sedano, Alberto | |
dc.contributor.author | Malek, Stephane | |
dc.date.accessioned | 2020-03-06T16:04:26Z | |
dc.date.available | 2020-03-06T16:04:26Z | |
dc.date.issued | 2018-02-13 | |
dc.identifier.bibliographicCitation | Lastra, A. & Malek, S. 2018, “Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity”, Electronic Journal of Differential Equations, vol. 2018, no. 46, pp. 1-89 | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | http://hdl.handle.net/10017/41473 | |
dc.description.abstract | We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter ϵ. This is a continuation of the precedent work by the first author. We construct two families of sectorial meromorphic solutions obtained as a small perturbation in ϵ of two branches of an algebraic slow curve of the equation in time scale. We show that the nonsingular part of the solutions of each family shares a common formal power series in ϵ as Gevrey asymptotic expansion which might be different one to each other, in general. | en |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Texas State University | en |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights | © 2018 Texas State University | |
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 | Cauchy problem | 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 | Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity | 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 | 2020-03-06T15:57:22Z | |
dc.relation.publisherversion | https://ejde.math.txstate.edu/ | |
dc.type.version | info:eu-repo/semantics/publishedVersion | en |
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/0000029644 | |
dc.identifier.publicationtitle | Electronic Journal of Differential Equations | en |
dc.identifier.publicationvolume | 2018 | |
dc.identifier.publicationlastpage | 89 | |
dc.identifier.publicationissue | 46 | |
dc.identifier.publicationfirstpage | 1 | |