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A characterization of the wave front set defined by the iterates of an operator with constant coefficients

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A characterization of the wave front set defined by the iterates of an operator with constant coefficients

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dc.contributor.author Boiti, Chiara es_ES
dc.contributor.author Jornet Casanova, David es_ES
dc.date.accessioned 2018-09-17T07:32:55Z
dc.date.available 2018-09-17T07:32:55Z
dc.date.issued 2017 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/107399
dc.description.abstract [EN] We characterize the wave front set WF*P (u) with respect to the iterates of a linear partial differential operator with constant coefficients of a classical distribution u is an element of D '(Omega), Omega an open subset in R-n. We use recent Paley-Wiener theorems for generalized ultradifferentiable classes in the sense of Braun, Meise and Taylor. We also give several examples and applications to the regularity of operators with variable coefficients and constant strength. Finally, we construct a distribution with prescribed wave front set of this type. es_ES
dc.description.sponsorship The authors were partially supported by FAR2011 (Universita di Ferrara), "Fondi per le necessita di base della ricerca" 2012 and 2013 (Universita di Ferrara) and the INDAM-GNAMPA Project 2014 "Equazioni Differenziali a Derivate Parziali di Evoluzione e Stocastiche" The research of the second author was partially supported by MINECO of Spain, Project MTM2013-43540-P. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Iterates of an operator es_ES
dc.subject Wave front set es_ES
dc.subject Ultradifferentiable functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A characterization of the wave front set defined by the iterates of an operator with constant coefficients es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-016-0329-8 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Boiti, C.; Jornet Casanova, D. (2017). A characterization of the wave front set defined by the iterates of an operator with constant coefficients. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 111(3):891-919. https://doi.org/10.1007/s13398-016-0329-8 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s13398-016-0329-8 es_ES
dc.description.upvformatpinicio 891 es_ES
dc.description.upvformatpfin 919 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 111 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\350789 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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