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Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes

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Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes

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Nombre: ANGELA ALBANESE;J ...
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dc.contributor.author Albanese, Angela Ama es_ES
dc.contributor.author Jornet Casanova, David es_ES
dc.contributor.author Oliaro, Alessandro es_ES
dc.date.accessioned 2014-10-06T08:52:58Z
dc.date.issued 2012-03
dc.identifier.issn 0025-584X
dc.identifier.uri http://hdl.handle.net/10251/40659
dc.description.abstract We prove the following inclusion WF*(u)⊂ WF*(Pu)∪ Σ, u∈ε′* (Ω) where WF* denotes the non-quasianalytic Beurling or Roumieu wave front set, Ω is an open subset of R{double-struck} n, P is a linear partial differential operator with suitable ultradifferentiable coefficients, and Σ is the characteristic set of P. The proof relies on some techniques developed in the study of pseudodifferential operators in the Beurling setting. Some applications are also investigated. © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. es_ES
dc.description.sponsorship The research of the second author was partially supported by MEC and FEDER, Project MTM2007-62643, and MEC, Project MTM2007-30904-E, and Conselleria d'Educacio de la GVA, Ajuda complementaria ACOMP 2009/253, Project GV/2010/040, and Universidad Politecnica de Valencia, Project Ref. 2773. en_EN
dc.language Inglés es_ES
dc.publisher Wiley-VCH Verlag es_ES
dc.relation.ispartof Mathematical News / Mathematische Nachrichten es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Non-quasianalytic weight function es_ES
dc.subject Pseudodifferential operators es_ES
dc.subject Linear partial differential opera- tors es_ES
dc.subject Wave front set es_ES
dc.subject Propagation of singularities es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic 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.201010039
dc.relation.projectID info:eu-repo/grantAgreement/MEC//MTM2007-30904-E/ES/VARIABLE COMPLEJA, ESPACIOS DE FUNCIONES Y OPERADORES ENTRE ELLOS/ / es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//ACOMP%2F2009%2F253/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GV%2F2010%2F040/ es_ES
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.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Albanese, AA.; Jornet Casanova, D.; Oliaro, A. (2012). Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes. Mathematical News / Mathematische Nachrichten. 285(4):411-425. https://doi.org/10.1002/mana.201010039 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1002/mana.201010039 es_ES
dc.description.upvformatpinicio 411 es_ES
dc.description.upvformatpfin 425 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 285 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 239683
dc.identifier.eissn 1522-2616
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.description.references Albanese, A. A., Jornet, D., & Oliaro, A. (2010). Quasianalytic Wave Front Sets for Solutions of Linear Partial Differential Operators. Integral Equations and Operator Theory, 66(2), 153-181. doi:10.1007/s00020-010-1742-6 es_ES
dc.description.references Bolley, P., & Camus, J. (1981). Regularite gevrey et iteres pour une classe d’operateurs hypoelliptiques. Communications in Partial Differential Equations, 6(10), 1057-1110. doi:10.1080/03605308108820205 es_ES
dc.description.references Bonet, J., Galbis, A., & Momm, S. (2001). Transactions of the American Mathematical Society, 353(06), 2275-2292. doi:10.1090/s0002-9947-01-02780-5 es_ES
dc.description.references Braun, R. W., Meise, R., & Taylor, B. A. (1990). Ultradifferentiable functions and Fourier analysis. Results in Mathematics, 17(3-4), 206-237. doi:10.1007/bf03322459 es_ES
dc.description.references Fernández, C., & Galbis, A. (2006). Superposition in Classes of Ultradifferentiable Functions. Publications of the Research Institute for Mathematical Sciences, 42(2), 399-419. doi:10.2977/prims/1166642109 es_ES
dc.description.references Fernández, C., Galbis, A., & Jornet, D. (2004). ω-hypoelliptic differential operators of constant strength. Journal of Mathematical Analysis and Applications, 297(2), 561-576. doi:10.1016/j.jmaa.2004.03.028 es_ES
dc.description.references Fernández, C., Galbis, A., & Jornet, D. (2005). Pseudodifferential operators on non-quasianalytic classes of Beurling type. Studia Mathematica, 167(2), 99-131. doi:10.4064/sm167-2-1 es_ES
dc.description.references Fernández, C., Galbis, A., & Jornet, D. (2008). Pseudodifferential operators of Beurling type and the wave front set. Journal of Mathematical Analysis and Applications, 340(2), 1153-1170. doi:10.1016/j.jmaa.2007.09.035 es_ES
dc.description.references Heinrich, T., & Meise, R. (2007). A support theorem for quasianalytic functionals. Mathematische Nachrichten, 280(4), 364-387. doi:10.1002/mana.200410488 es_ES
dc.description.references Hörmander, L. (1971). Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients. Communications on Pure and Applied Mathematics, 24(5), 671-704. doi:10.1002/cpa.3160240505 es_ES
dc.description.references Hörmander, L. (1998). The Analysis of Linear Partial Differential Operators I. Grundlehren der mathematischen Wissenschaften. doi:10.1007/978-3-642-96750-4 es_ES
dc.description.references Rodino, L. (1993). Linear Partial Differential Operators In Gevrey Spaces. doi:10.1142/9789814360036 es_ES


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