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dc.contributor.authorFernandes, Juliana-
dc.contributor.authorMaia, Liliane de Almeida-
dc.date.accessioned2021-06-17T12:47:20Z-
dc.date.available2021-06-17T12:47:20Z-
dc.date.issued2020-08-
dc.identifier.citationFERNANDES, Juliana; MAIA, Liliane. Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium. Discrete & Continuous Dynamical Systems, v. 41, n. 3, p. 1297-1318, mar. 2021. DOI: 10.3934/dcds.2020318.pt_BR
dc.identifier.urihttps://repositorio.unb.br/handle/10482/41187-
dc.language.isoInglêspt_BR
dc.publisherAmerican Institute of Mathematical Sciencespt_BR
dc.rightsAcesso Restritopt_BR
dc.titleBlow-up and bounded solutions for a semilinear parabolic problem in a saturable mediumpt_BR
dc.typeArtigopt_BR
dc.subject.keywordEquação parabólicapt_BR
dc.subject.keywordExplosão em tempo infinitopt_BR
dc.subject.keywordVariedade de Nehaript_BR
dc.identifier.doi10.3934/dcds.2020318pt_BR
dc.relation.publisherversionhttps://www.aimsciences.org/article/doi/10.3934/dcds.2020318pt_BR
dc.description.abstract1The 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.pt_BR
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