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dc.contributor.author | Lizama, Carlos | es_ES |
dc.contributor.author | Murillo Arcila, Marina | es_ES |
dc.date.accessioned | 2022-10-28T10:28:55Z | |
dc.date.available | 2022-10-28T10:28:55Z | |
dc.date.issued | 2021 | es_ES |
dc.identifier.issn | 1417-3875 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/188907 | |
dc.description.abstract | [EN] In this paper, we completely characterize, only in terms of the data, the well-posedness of a fourth order abstract evolution equation arising from the Moore-Gibson-Thomson equation with memory. This characterization is obtained in the scales of vector-valued Lebesgue, Besov and Triebel-Lizorkin function spaces. Our characterization is flexible enough to admit as examples the Laplacian and the fractional Laplacian operators, among others. We also provide a practical and general criteria that allows L-p-L-q-well-posedness. | es_ES |
dc.description.sponsorship | The first author is partially supported by FONDECYT grant number 1180041 and DICYT, Universidad de Santiago de Chile, USACH. The second author is supported by MEC, grants MTM2016-75963-P and PID2019-105011GB-I00. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | University of Szeged | es_ES |
dc.relation.ispartof | Electronic Journal of Qualitative Theory of Differential Equations | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Well-posedness | es_ES |
dc.subject | Moore-Gibson-Thompson equation | es_ES |
dc.subject | Operator-valued multipliers | es_ES |
dc.subject | R-boundedness | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Well-posedness for a fourth-order equation of Moore-Gibson-Thompson type | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.14232/ejqtde.2021.1.81 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/FONDECYT//1180041/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI//MTM2016-75963-P//DINAMICA 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 | Lizama, C.; Murillo Arcila, M. (2021). Well-posedness for a fourth-order equation of Moore-Gibson-Thompson type. Electronic Journal of Qualitative Theory of Differential Equations. (81):1-18. https://doi.org/10.14232/ejqtde.2021.1.81 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.14232/ejqtde.2021.1.81 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 18 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.issue | 81 | es_ES |
dc.relation.pasarela | S\455730 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | Fondo Nacional de Desarrollo Científico y Tecnológico, Chile | es_ES |
dc.contributor.funder | Departamento de Investigaciones Científicas y Tecnológicas, Universidad de Santiago de Chile | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |