Anisotropic parabolic equations with variable nonlinearity

We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive...

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Detalles Bibliográficos
Autores: Antontsev, S., Shmarev, S.
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:49671
Acceso en línea:https://ddd.uab.cat/record/49671
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53209_04
Access Level:acceso abierto
Palabra clave:Nonlinear parabolic equation
Nonstandard growth conditions
Anisotropic nonlinearity
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spelling Anisotropic parabolic equations with variable nonlinearityAntontsev, S.Shmarev, S.Nonlinear parabolic equationNonstandard growth conditionsAnisotropic nonlinearityWe study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time L∞ bounds for the weak solutions. 22009-01-0120092009-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/49671https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53209_04reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:496712026-06-06T12:50:31Z
dc.title.none.fl_str_mv Anisotropic parabolic equations with variable nonlinearity
title Anisotropic parabolic equations with variable nonlinearity
spellingShingle Anisotropic parabolic equations with variable nonlinearity
Antontsev, S.
Nonlinear parabolic equation
Nonstandard growth conditions
Anisotropic nonlinearity
title_short Anisotropic parabolic equations with variable nonlinearity
title_full Anisotropic parabolic equations with variable nonlinearity
title_fullStr Anisotropic parabolic equations with variable nonlinearity
title_full_unstemmed Anisotropic parabolic equations with variable nonlinearity
title_sort Anisotropic parabolic equations with variable nonlinearity
dc.creator.none.fl_str_mv Antontsev, S.
Shmarev, S.
author Antontsev, S.
author_facet Antontsev, S.
Shmarev, S.
author_role author
author2 Shmarev, S.
author2_role author
dc.subject.none.fl_str_mv Nonlinear parabolic equation
Nonstandard growth conditions
Anisotropic nonlinearity
topic Nonlinear parabolic equation
Nonstandard growth conditions
Anisotropic nonlinearity
description We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time L∞ bounds for the weak solutions.
publishDate 2009
dc.date.none.fl_str_mv 2
2009-01-01
2009
2009-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
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http://purl.org/coar/version/c_970fb48d4fbd8a85
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https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53209_04
url https://ddd.uab.cat/record/49671
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53209_04
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
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rights_invalid_str_mv open access
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instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
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