Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations.

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dc.contributor.authorRodríguez Bernal, Aníbal
dc.contributor.authorVidal López, Alejandro
dc.contributor.authorLanga, J.A.
dc.contributor.authorRobinson, James C.
dc.contributor.authorSuárez, A.
dc.date.accessioned2023-06-20T09:29:17Z
dc.date.available2023-06-20T09:29:17Z
dc.date.issued2007
dc.description.abstractThe goal of this work is to study the forward dynamics of positive solutions for the nonautonomous logistic equation ut − _u = _u − b(t)up, with p > 1, b(t) > 0, for all t 2 R, limt!1 b(t) = 0. While the pullback asymptotic behaviour for this equation is now well understood, several different possibilities are realised in the forward asymptotic regime.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación y Ciencia
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/12831
dc.identifier.issn1553-5231
dc.identifier.officialurlhttp://www.aimsciences.org/journals/dcdsA/online.jsp
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49698
dc.issue.number2-3
dc.journal.titleDiscrete and Continuous Dynamical Systems. Series A
dc.language.isoeng
dc.page.final497
dc.page.initial483
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.projectIDMTM 2006 08262
dc.relation.projectIDMTM2005-01412
dc.relation.projectIDBFM 2003-06446
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.keywordUnbounded forwards attractor
dc.subject.keywordNon-autonomous reaction diffusion equations.
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleExistence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations.
dc.typejournal article
dc.volume.number18
dspace.entity.typePublication
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relation.isAuthorOfPublicationda7597a3-d93f-4f3d-ab79-9f35c2637cde
relation.isAuthorOfPublication.latestForDiscoveryfb7ac82c-5148-4dd1-b893-d8f8612a1b08

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