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Artículo
Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients
dc.creator | Briane, Marc | es |
dc.creator | Casado Díaz, Juan | es |
dc.date.accessioned | 2022-10-27T08:46:59Z | |
dc.date.available | 2022-10-27T08:46:59Z | |
dc.date.issued | 2008-10-15 | |
dc.identifier.citation | Briane, M. y Casado Díaz, J. (2008). Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients. Journal of Differential Equations, 245 (8), 2038-2054. https://doi.org/10.1016/j.jde.2008.07.027. | |
dc.identifier.issn | 0022-0396 | es |
dc.identifier.uri | https://hdl.handle.net/11441/138410 | |
dc.description.abstract | This paper deals with the behavior of two-dimensional linear elliptic equations with unbounded (and possibly infinite) coefficients. We prove the uniform convergence of the solutions by truncating the coefficients and using a pointwise estimate of the solutions combined with a two-dimensional capacitary estimate. We give two applications of this result: the continuity of the solutions of two-dimensional linear elliptic equations by a constructive approach, and the density of the continuous functions in the domain of the Γ-limit of equicoercive diffusion energies in dimension two. We also build two counter-examples which show that the previous results cannot be extended to dimension three. | es |
dc.format | application/pdf | es |
dc.format.extent | 16 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Differential Equations, 245 (8), 2038-2054. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Linear degenerate elliptic equations | es |
dc.subject | Continuity of solutions | es |
dc.subject | Uniform convergence of solutions | es |
dc.subject | Maximum principle | es |
dc.subject | Homogenization | es |
dc.title | Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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.jde.2008.07.027 | es |
dc.identifier.doi | 10.1016/j.jde.2008.07.027 | es |
dc.contributor.group | Universidad de Sevilla. FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parciales | es |
dc.journaltitle | Journal of Differential Equations | es |
dc.publication.volumen | 245 | es |
dc.publication.issue | 8 | es |
dc.publication.initialPage | 2038 | es |
dc.publication.endPage | 2054 | es |
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