An elliptic problem in dimension N with a varying drift term bounded in LN

The present paper is devoted to study the asymptotic behavior of a sequence of linear elliptic equations with a varying drift term, whose coefficients are just bounded in LN (Ω), with N the dimension of the space. It is known that there exists a unique solution for each of these problems in the Sobo...

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Detalles Bibliográficos
Autor: Casado Díaz, Juan
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2024
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:dnet:idus________::a1f197606693fa711140fd22c6c732e8
Acceso en línea:https://hdl.handle.net/11441/185732
https://doi.org/10.3233/ASY-241914
Access Level:acceso abierto
Palabra clave:Asymptotic behavior
elliptic problem
drift term
varying coefficients
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spelling An elliptic problem in dimension N with a varying drift term bounded in LNCasado Díaz, JuanAsymptotic behaviorelliptic problemdrift termvarying coefficientsThe present paper is devoted to study the asymptotic behavior of a sequence of linear elliptic equations with a varying drift term, whose coefficients are just bounded in LN (Ω), with N the dimension of the space. It is known that there exists a unique solution for each of these problems in the Sobolev space H10(Ω). However, because the operators are not coercive, there is no uniform estimate of the solutions in this space. We use some estimates in [2], and a regularization obtained by adding a small nonlinear first order term, to pass to the limit in these problems.ArXivEcuaciones Diferenciales y Análisis NuméricoFQM309: Control y Homogeneización de Ecuaciones en Derivadas Parciales2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/185732https://doi.org/10.3233/ASY-241914reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésAsymptotic Analysis, 140 (3-4), 147-158. 10.3233/ASY-241914info:eu-repo/semantics/openAccessoai:dnet:idus________::a1f197606693fa711140fd22c6c732e82026-06-17T12:51:07Z
dc.title.none.fl_str_mv An elliptic problem in dimension N with a varying drift term bounded in LN
title An elliptic problem in dimension N with a varying drift term bounded in LN
spellingShingle An elliptic problem in dimension N with a varying drift term bounded in LN
Casado Díaz, Juan
Asymptotic behavior
elliptic problem
drift term
varying coefficients
title_short An elliptic problem in dimension N with a varying drift term bounded in LN
title_full An elliptic problem in dimension N with a varying drift term bounded in LN
title_fullStr An elliptic problem in dimension N with a varying drift term bounded in LN
title_full_unstemmed An elliptic problem in dimension N with a varying drift term bounded in LN
title_sort An elliptic problem in dimension N with a varying drift term bounded in LN
dc.creator.none.fl_str_mv Casado Díaz, Juan
author Casado Díaz, Juan
author_facet Casado Díaz, Juan
author_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parciales
dc.subject.none.fl_str_mv Asymptotic behavior
elliptic problem
drift term
varying coefficients
topic Asymptotic behavior
elliptic problem
drift term
varying coefficients
description The present paper is devoted to study the asymptotic behavior of a sequence of linear elliptic equations with a varying drift term, whose coefficients are just bounded in LN (Ω), with N the dimension of the space. It is known that there exists a unique solution for each of these problems in the Sobolev space H10(Ω). However, because the operators are not coercive, there is no uniform estimate of the solutions in this space. We use some estimates in [2], and a regularization obtained by adding a small nonlinear first order term, to pass to the limit in these problems.
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/185732
https://doi.org/10.3233/ASY-241914
url https://hdl.handle.net/11441/185732
https://doi.org/10.3233/ASY-241914
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Asymptotic Analysis, 140 (3-4), 147-158.
10.3233/ASY-241914
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv ArXiv
publisher.none.fl_str_mv ArXiv
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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