Pullback attractors for a reaction-diffusion equation in a general nonempty open subset of R^N with non-autonomous forcing term in H^{−1}
The existence of minimal pullback attractors in L^2(Ω) for a non-autonomous reaction-diffusion equation, in the frameworks of universes of fixed bounded sets and that given by a tempered growth condition, is proved in this paper, when the domain Ω is a general nonempty open subset of R^N, and h ∈ L^...
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2015 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/157534 |
| Acesso em linha: | https://hdl.handle.net/11441/157534 https://doi.org/10.1142/S0218127415501643 |
| Access Level: | acceso abierto |
| Palavra-chave: | Pullback attractor asymptotic compactness evolution process non-autonomous reaction-diffusion equation |
| Resumo: | The existence of minimal pullback attractors in L^2(Ω) for a non-autonomous reaction-diffusion equation, in the frameworks of universes of fixed bounded sets and that given by a tempered growth condition, is proved in this paper, when the domain Ω is a general nonempty open subset of R^N, and h ∈ L^2_loc(R;H^{−1}(Ω)). The main concept used in the proof is the asymptotic com- pactness of the process generated by the problem. The relation among these families is also discussed. |
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