Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations.
| dc.contributor.author | Rodríguez Bernal, Aníbal | |
| dc.contributor.author | Vidal López, Alejandro | |
| dc.contributor.author | Langa, J.A. | |
| dc.contributor.author | Robinson, James C. | |
| dc.contributor.author | Suárez, A. | |
| dc.date.accessioned | 2023-06-20T09:29:17Z | |
| dc.date.available | 2023-06-20T09:29:17Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | The 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.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Educación y Ciencia | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/12831 | |
| dc.identifier.issn | 1553-5231 | |
| dc.identifier.officialurl | http://www.aimsciences.org/journals/dcdsA/online.jsp | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/49698 | |
| dc.issue.number | 2-3 | |
| dc.journal.title | Discrete and Continuous Dynamical Systems. Series A | |
| dc.language.iso | eng | |
| dc.page.final | 497 | |
| dc.page.initial | 483 | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.relation.projectID | MTM 2006 08262 | |
| dc.relation.projectID | MTM2005-01412 | |
| dc.relation.projectID | BFM 2003-06446 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.keyword | Unbounded forwards attractor | |
| dc.subject.keyword | Non-autonomous reaction diffusion equations. | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations. | |
| dc.type | journal article | |
| dc.volume.number | 18 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 | |
| relation.isAuthorOfPublication | da7597a3-d93f-4f3d-ab79-9f35c2637cde | |
| relation.isAuthorOfPublication.latestForDiscovery | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 |
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