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dc.contributor.authorLastra Sedano, Alberto 
dc.contributor.authorMalek, Stephane
dc.date.accessioned2020-03-06T16:04:26Z
dc.date.available2020-03-06T16:04:26Z
dc.date.issued2018-02-13
dc.identifier.bibliographicCitationLastra, 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.issn1072-6691
dc.identifier.urihttp://hdl.handle.net/10017/41473
dc.description.abstractWe 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.sponsorshipMinisterio de Economía y Competitividades_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherTexas State Universityen
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights© 2018 Texas State University
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAsymptotic expansionen
dc.subjectBorel-Laplace transformen
dc.subjectFourier transformen
dc.subjectCauchy problemen
dc.subjectFormal power seriesen
dc.subjectNonlinear integro-differential equationen
dc.subjectNonlinear partial differential equationen
dc.subjectSingular perturbationen
dc.titleGevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearityen
dc.typeinfo:eu-repo/semantics/articleen
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.date.updated2020-03-06T15:57:22Z
dc.relation.publisherversionhttps://ejde.math.txstate.edu/
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2016-77642-C2-1-P/ES/Algebra y geometría en sistemas dinámicos y foliaciones singulares/en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000029644
dc.identifier.publicationtitleElectronic Journal of Differential Equationsen
dc.identifier.publicationvolume2018
dc.identifier.publicationlastpage89
dc.identifier.publicationissue46
dc.identifier.publicationfirstpage1


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Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
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