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Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes

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Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes

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dc.contributor.author Lizama, Carlos es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.date.accessioned 2021-05-14T03:31:37Z
dc.date.available 2021-05-14T03:31:37Z
dc.date.issued 2020-01 es_ES
dc.identifier.issn 1078-0947 es_ES
dc.identifier.uri http://hdl.handle.net/10251/166340
dc.description.abstract [EN] In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences l(p)(Z) by using Blunck's theorem on the equivalence between operator-valued l(p)-multipliers and the notion of R-boundedness. We show sufficient conditions for maximal l(p) - l(q) regularity of solutions of such problems solely in terms of the data. We also explain the significance of kernel sequences in the theory of viscoelasticity, establishing a new and surprising connection with schemes of approximation of fractional models. es_ES
dc.description.sponsorship The first author was partially supported by FONDECYT, Grant No 1180041. The second author was supported by MEC, grant MTM2016-75963-P and GVA/2018/110. es_ES
dc.language Inglés es_ES
dc.publisher American Institute of Mathematical Sciences es_ES
dc.relation.ispartof Discrete and Continuous Dynamical Systems es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Maximal regularity es_ES
dc.subject Time-stepping schemes es_ES
dc.subject Discrete Volterra equations es_ES
dc.subject Nonlocal operators es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3934/dcds.2020020 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GV%2F2018%2F110/ 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/FONDECYT//1180041/ 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 Lizama, C.; Murillo Arcila, M. (2020). Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes. Discrete and Continuous Dynamical Systems. 40(1):509-528. https://doi.org/10.3934/dcds.2020020 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3934/dcds.2020020 es_ES
dc.description.upvformatpinicio 509 es_ES
dc.description.upvformatpfin 528 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 40 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\402861 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Fondo Nacional de Desarrollo Científico y Tecnológico, Chile es_ES


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