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Maximal regularity in l(p) spaces for discrete time fractional shifted equations
dc.contributor.author | Lizama, Carlos | |
dc.contributor.author | murillo arcila, marina | |
dc.date.accessioned | 2017-11-07T10:41:46Z | |
dc.date.available | 2017-11-07T10:41:46Z | |
dc.date.issued | 2017-09 | |
dc.identifier.citation | LIZAMA, Carlos; MURILLO-ARCILA, Marina. Maximal regularity in l p spaces for discrete time fractional shifted equations. Journal of Differential Equations, 2017. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/169885 | |
dc.description.abstract | In this paper, we are presenting a new method based on operator-valued Fourier multipliers to characterize the existence and uniqueness of p -solutions for discrete time fractional models in the form α u(n, x) = Au(n, x) + k j = 1 β j u(n − τ j ,x) + f (n, u(n, x)), n ∈ Z ,x ∈ ⊂ R N ,β j ∈ R and τ j ∈ Z , where A is a closed linear operator defined on a Banach space X and α denotes the Grünwald–Letnikov fractional derivative of order α> 0. If X is a UMD space, we provide this characterization only in terms of the R -boundedness of the operator-valued symbol associated to the abstract model. To illustrate our results, we derive new qualitative properties of nonlinear difference equations with shiftings, including fractional versions of the logistic and Nagumo equations. | ca_CA |
dc.format.extent | 21 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.rights | © 2017 Elsevier Inc. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Maximal lp-regularity | ca_CA |
dc.subject | Shifted equations | ca_CA |
dc.subject | Discrete time | ca_CA |
dc.subject | Grünwald–Letnikov derivative | ca_CA |
dc.title | Maximal regularity in l(p) spaces for discrete time fractional shifted equations | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.jde.2017.04.035 | |
dc.relation.projectID | CONICYT under FONDECYT (grant number 1140258 and Proyecto Anillo ACT 1112) ; Basque Government through the BERC 2014–2017 program, by Spanish Ministry of Economy and Competitiveness MINECO: BCAM Severo Ochoa excellence accreditation (SEV-2013-0323, by 644202 GEAGAM, H2020-MSCA-RISE-2014) and by MEC (grant MTM2016-75963-P) | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0022039617302462 | ca_CA |
dc.date.embargoEndDate | 2019-09 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
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