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Well-posedness for degenerate third order equations with delay and applications to inverse problems

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Well-posedness for degenerate third order equations with delay and applications to inverse problems

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dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Lizama, C. es_ES
dc.contributor.author Murillo-Arcila, Marina es_ES
dc.contributor.author SEOANE SEPÚLVEDA, JUAN BENIGNO es_ES
dc.date.accessioned 2020-11-17T04:32:27Z
dc.date.available 2020-11-17T04:32:27Z
dc.date.issued 2019-01 es_ES
dc.identifier.issn 0021-2172 es_ES
dc.identifier.uri http://hdl.handle.net/10251/155123
dc.description.abstract [EN] In this paper, we study well-posedness for the following third-order in time equation with delay <disp-formula idoperators defined on a Banach space X with domains D(A) and D(B) such that t)is the state function taking values in X and u(t): (-, 0] X defined as u(t)() = u(t+) for < 0 belongs to an appropriate phase space where F and G are bounded linear operators. Using operator-valued Fourier multiplier techniques we provide optimal conditions for well-posedness of equation (0.1) in periodic Lebesgue-Bochner spaces Lp(T,X), periodic Besov spaces Bp,qs(T,X) and periodic Triebel-Lizorkin spaces Fp,qs(T,X). A novel application to an inverse problem is given. es_ES
dc.description.sponsorship The first, second and third authors have been supported by MEC, grant MTM2016-75963-P. The second author has been supported by AICO/2016/30. The fourth author has been supported by MEC, grant MTM2015-65825-P. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Israel Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Valued Fourier multipliers es_ES
dc.subject Integrodifferential Equations es_ES
dc.subject Periodic-Solutions es_ES
dc.subject Maximal regularity es_ES
dc.subject Infinite delay es_ES
dc.subject Besov-Spaces es_ES
dc.subject Differential-Equations es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Well-posedness for degenerate third order equations with delay and applications to inverse problems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11856-018-1796-8 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//AICO%2F2016%2F030/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2015-65825-P/ES/ANALISIS FUNCIONAL NO LINEAL Y GEOMETRICO/ 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 Conejero, JA.; Lizama, C.; Murillo-Arcila, M.; Seoane Sepúlveda, JB. (2019). Well-posedness for degenerate third order equations with delay and applications to inverse problems. Israel Journal of Mathematics. 229(1):219-254. https://doi.org/10.1007/s11856-018-1796-8 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11856-018-1796-8 es_ES
dc.description.upvformatpinicio 219 es_ES
dc.description.upvformatpfin 254 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 229 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\402760 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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