Intrinsic scaling for pde’s with an exponential nonlinearity

Detalhes bibliográficos
Autor(a) principal: Henriques, Eurica
Data de Publicação: 2006
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: https://hdl.handle.net/10348/12449
Resumo: We consider strongly degenerate equations in divergence form of the type u_t − ∇ · (|u|^{γ(x,t)}∇u )= f , where the exponential nonlinearity satisfies the condition 0 < γ− ≤ γ(x, t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous.
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spelling Intrinsic scaling for pde’s with an exponential nonlinearityporous medium equationdegenerate PDE’sregularity theoryintrinsic scalingWe consider strongly degenerate equations in divergence form of the type u_t − ∇ · (|u|^{γ(x,t)}∇u )= f , where the exponential nonlinearity satisfies the condition 0 < γ− ≤ γ(x, t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous.2024-05-08T11:23:23Z2006-01-01T00:00:00Z2006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10348/12449engHenriques, Euricainfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-12T02:03:12Zoai:repositorio.utad.pt:10348/12449Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:35:52.515173Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Intrinsic scaling for pde’s with an exponential nonlinearity
title Intrinsic scaling for pde’s with an exponential nonlinearity
spellingShingle Intrinsic scaling for pde’s with an exponential nonlinearity
Henriques, Eurica
porous medium equation
degenerate PDE’s
regularity theory
intrinsic scaling
title_short Intrinsic scaling for pde’s with an exponential nonlinearity
title_full Intrinsic scaling for pde’s with an exponential nonlinearity
title_fullStr Intrinsic scaling for pde’s with an exponential nonlinearity
title_full_unstemmed Intrinsic scaling for pde’s with an exponential nonlinearity
title_sort Intrinsic scaling for pde’s with an exponential nonlinearity
author Henriques, Eurica
author_facet Henriques, Eurica
author_role author
dc.contributor.author.fl_str_mv Henriques, Eurica
dc.subject.por.fl_str_mv porous medium equation
degenerate PDE’s
regularity theory
intrinsic scaling
topic porous medium equation
degenerate PDE’s
regularity theory
intrinsic scaling
description We consider strongly degenerate equations in divergence form of the type u_t − ∇ · (|u|^{γ(x,t)}∇u )= f , where the exponential nonlinearity satisfies the condition 0 < γ− ≤ γ(x, t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01T00:00:00Z
2006
2024-05-08T11:23:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10348/12449
url https://hdl.handle.net/10348/12449
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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