Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations.
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...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49698 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49698 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 Unbounded forwards attractor Non-autonomous reaction diffusion equations. Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Sumario: | 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. |
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