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Artículo
Nonlocal and nonlinear evolution equations in perforated domains
dc.creator | Corrêa Pereira, Marcone | es |
dc.creator | Sastre Gómez, Silvia | es |
dc.date.accessioned | 2022-07-06T08:17:32Z | |
dc.date.available | 2022-07-06T08:17:32Z | |
dc.date.issued | 2020-12-02 | |
dc.identifier.citation | Corrêa Pereira, M. y Sastre Gómez, S. (2020). Nonlocal and nonlinear evolution equations in perforated domains. Journal of Mathematical Analysis and Applications, 495 (2), 124729-1-124729-20. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.issn | 1096-0813 | es |
dc.identifier.uri | https://hdl.handle.net/11441/135022 | |
dc.description.abstract | In this work we analyze the behavior of the solutions to nonlocal evolution equations of the form ut(x; t) = ∫ J(x - y)u(y; t) dy - h∑(x)u(x; t)+f(x; u(x; t)) with x in a perturbed domain Ω∑ C Ω which is thought as a fixed set Ω from where we remove a subset A∑ called the holes. We choose an appropriated families of functions h∑ € L∞ in order to deal with both Neumann and Dirichlet conditions in the holes setting a Dirichlet condition outside Ω. Moreover, we take J as a non-singular kernel and f as a nonlocal nonlinearity. Under the assumption that the characteristic functions of Ω€ have a weak limit, we study the limit of the solutions providing a nonlocal homogenized equation. | es |
dc.format | application/pdf | es |
dc.format.extent | 20 p. | es |
dc.language.iso | eng | es |
dc.publisher | Academic Press Inc Elsevier Science | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 495 (2), 124729-1-124729-20. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Perforated domains | es |
dc.subject | Nonlocal equations | es |
dc.subject | Semilinear equations | es |
dc.subject | Dirichlet problem | es |
dc.subject | Neumann problem | es |
dc.title | Nonlocal and nonlinear evolution equations in perforated domains | 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 | doi.org/10.1016/j.jmaa.2020.124729 | es |
dc.identifier.doi | 10.1016/j.jmaa.2020.124729 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 495 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 124729-1 | es |
dc.publication.endPage | 124729-20 | es |
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