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

Fernandes, Juliana; Maia, Liliane de Almeida

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Campo DC	Valor	Idioma
dc.contributor.author	Fernandes, Juliana	-
dc.contributor.author	Maia, Liliane de Almeida	-
dc.date.accessioned	2021-06-17T12:47:20Z	-
dc.date.available	2021-06-17T12:47:20Z	-
dc.date.issued	2020-08	-
dc.identifier.citation	FERNANDES, 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.uri	https://repositorio.unb.br/handle/10482/41187	-
dc.language.iso	Inglês	pt_BR
dc.publisher	American Institute of Mathematical Sciences	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Equação parabólica	pt_BR
dc.subject.keyword	Explosão em tempo infinito	pt_BR
dc.subject.keyword	Variedade de Nehari	pt_BR
dc.identifier.doi	10.3934/dcds.2020318	pt_BR
dc.relation.publisherversion	https://www.aimsciences.org/article/doi/10.3934/dcds.2020318	pt_BR
dc.description.abstract1	The 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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