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dc.contributor.author | Calvo, Daniela | es_ES |
dc.contributor.author | Gómez Collado, María del Carmen | es_ES |
dc.date.accessioned | 2013-04-30T07:26:18Z | |
dc.date.issued | 2011-04-06 | |
dc.identifier.issn | 0025-584X | |
dc.identifier.uri | http://hdl.handle.net/10251/28331 | |
dc.description.abstract | We present a generalization of Gevrey classes, aiming at including the inhomogeneous Gevrey functions introduced by Liess 15 and the ultradifferentiable functions in the sense of Braun et al. 4. Therefore, we treat the related dual spaces, called generalized Gevrey ultradistributions, proving also a version of the Paley-Wiener-Schwartz Theorem in our framework. Two different topologies are treated, following the lines both of Beurling 1 and of Roumieu 21, 22. We finally treat in these spaces the well-posedness of the Cauchy problem for weakly hyperbolic operators, extending the previous results of Larsson 14 and Calvo 6, 7. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. | es_ES |
dc.description.sponsorship | The research of M. Carmen Gomez-Collado was partially supported by FEDER and MEC, Proyect No. MTM2007-62643, and Project No. MTM2010-15200. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Wiley-VCH Verlag GmbH & Co. | es_ES |
dc.relation.ispartof | Mathematical News / Mathematische Nachrichten | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Cauchy problem | es_ES |
dc.subject | Gevrey ultradistributions | es_ES |
dc.subject | Hyperbolic equations | es_ES |
dc.subject | Inhomogeneous Gevrey classes | es_ES |
dc.subject | Ultradifferentiable functions | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | On some generalizations of Gevrey classes | es_ES |
dc.type | Artículo | es_ES |
dc.embargo.lift | 10000-01-01 | |
dc.embargo.terms | forever | es_ES |
dc.identifier.doi | 10.1002/mana.200910840 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MEC//MTM2007-62643/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS COMPLEJO Y LAS ECUACIONES EN DERIVADAS PARCIALES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ | |
dc.rights.accessRights | Cerrado | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada | es_ES |
dc.description.bibliographicCitation | Calvo, D.; Gómez Collado, MDC. (2011). On some generalizations of Gevrey classes. Mathematical News / Mathematische Nachrichten. 284(7):856-874. https://doi.org/10.1002/mana.200910840 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1002/mana.200910840/pdf | es_ES |
dc.description.upvformatpinicio | 856 | es_ES |
dc.description.upvformatpfin | 874 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 284 | es_ES |
dc.description.issue | 7 | es_ES |
dc.relation.senia | 191955 | |
dc.contributor.funder | Ministerio de Educación y Ciencia | es_ES |
dc.contributor.funder | Ministerio de Ciencia e Innovación |