dc.creator | Casado Díaz, Juan | es |
dc.creator | Couce Calvo, Julio | es |
dc.creator | Maestre, Faustino | es |
dc.creator | Martín Gómez, José Domingo | es |
dc.date.accessioned | 2022-11-03T13:39:27Z | |
dc.date.available | 2022-11-03T13:39:27Z | |
dc.date.issued | 2011-01-28 | |
dc.identifier.citation | Casado Díaz, J., Couce Calvo, J., Maestre, F. y Martín Gómez, J.D. (2011). Homogenization and corrector for the wave equation with discontinuous coefficients in time. Journal of Mathematical Analysis and Applications, 379 (2), 664-681. https://doi.org/10.1016/j.jmaa.2011.01.054. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.issn | 1096-0813 | es |
dc.identifier.uri | https://hdl.handle.net/11441/138670 | |
dc.description.abstract | In this paper we analyze the homogenization of the wave equation with bounded variation
coefficients in time, generalizing the classical result, which assumes Lipschitz-continuity.
We start showing a general existence and uniqueness result for a general sort of hyperbolic
equations. Then, we obtain our homogenization result comparing the solution of a
sequence of wave equations to the solution of a sequence of elliptic ones. We conclude the
paper making an analysis of the corrector. Firstly, we obtain a corrector result assuming
that the derivative of the coefficients in the time variable is equicontinuous. This result
was known for non-time dependent coefficients. After, we show, with a counterexample,
that the regularity hypothesis for the corrector theorem is optimal in the sense that it does
not hold if the time derivative of the coefficients is just bounded. | es |
dc.format | application/pdf | es |
dc.format.extent | 17 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 379 (2), 664-681. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Homogenization | es |
dc.subject | Corrector | es |
dc.subject | Wave equation | es |
dc.title | Homogenization and corrector for the wave equation with discontinuous coefficients in time | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.jmaa.2011.01.054 | es |
dc.identifier.doi | 10.1016/j.jmaa.2011.01.054 | es |
dc.contributor.group | Universidad de Sevilla. FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parciales | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 379 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 664 | es |
dc.publication.endPage | 681 | es |