An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation
Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established. Then, under additional assumptions, an exponential growth condition in H2 for the pullback attrac...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23640 |
| Acceso en línea: | http://hdl.handle.net/11441/23640 https://doi.org/10.1016/j.na.2009.07.027 |
| Access Level: | acceso abierto |
| Palabra clave: | reaction-diffusion equations non-autonomous (pullback) attractors invariant sets H2-exponential growth |
| Sumario: | Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established. Then, under additional assumptions, an exponential growth condition in H2 for the pullback attractor of the non-autonomous reaction-diffusion equation is also deduced. |
|---|