dc.creator | Braides, Andrea | es |
dc.creator | Briane, Marc | es |
dc.creator | Casado Díaz, Juan | es |
dc.date.accessioned | 2016-10-20T07:38:14Z | |
dc.date.available | 2016-10-20T07:38:14Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Braides, A., Briane, M. y Casado Díaz, J. (2009). Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. Nonlinearity, 22, 1459-1480. | |
dc.identifier.issn | 0951-7715 | es |
dc.identifier.issn | 1361-6544 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47811 | |
dc.description.abstract | This paper deals with the homogenization of two-dimensional oscillating
convex functionals, the densities of which are equicoercive but not uniformly
bounded from above. Using a uniform-convergence result for the minimizers, which holds for this type of scalar problems in dimension two, we prove in particular that the limit energy is local and recover the validity of the analogue of the well-known periodic homogenization formula in this degenerate case. However, in the present context the classical argument leading to integral representation based on the use of cut-off functions is useless due to the unboundedness of the densities. In its place we build sequences with bounded energy, which converge uniformly to piecewise-affine functions, taking pointwise extrema of recovery sequences for affine functions. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | IOP Publishing | es |
dc.relation.ispartof | Nonlinearity, 22, 1459-1480. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Homogenization of non-uniformly bounded periodic diffusion energies in dimension two | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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.projectID | MTM2008-00306 | es |
dc.relation.publisherversion | http://iopscience.iop.org/article/10.1088/0951-7715/22/6/010/pdf | es |
dc.identifier.doi | 10.1088/0951-7715/22/6/010 | es |
dc.contributor.group | Universidad de Sevilla. FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parciales | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | Nonlinearity | es |
dc.publication.volumen | 22 | es |
dc.publication.initialPage | 1459 | es |
dc.publication.endPage | 1480 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47811 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |