Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorFernandes, Juliana-
Autor(es): dc.creatorMaia, Liliane de Almeida-
Data de aceite: dc.date.accessioned2024-07-24T13:21:16Z-
Data de disponibilização: dc.date.available2024-07-24T13:21:16Z-
Data de envio: dc.date.issued2021-06-17-
Data de envio: dc.date.issued2021-06-17-
Data de envio: dc.date.issued2020-08-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/41187-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/849505-
Descrição: dc.descriptionThe present paper is on the existence and behaviour of solutions for a class of semilinear parabolic equations, defined on a bounded smooth domain and assuming a nonlinearity asymptotically linear at infinity. The behavior of the solutions when the initial data varies in the phase space is analyzed. Global solutions are obtained, which may be bounded or blow-up in infinite time (grow-up). The main tools are the comparison principle and variational methods. In particular, the Nehari manifold is used to separate the phase space into regions of initial data where uniform boundedness or grow-up behavior of the semiflow may occur. Additionally, some attention is paid to initial data at high energy level.-
Publicador: dc.publisherAmerican Institute of Mathematical Sciences-
Relação: dc.relationhttps://www.aimsciences.org/article/doi/10.3934/dcds.2020318-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectEquação parabólica-
Palavras-chave: dc.subjectExplosão em tempo infinito-
Palavras-chave: dc.subjectVariedade de Nehari-
Título: dc.titleBlow-up and bounded solutions for a semilinear parabolic problem in a saturable medium-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional – UNB (old)

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