On the Kneser property for reaction-diffusion equations in some unbounded domains with an H^{-1}-valued non-autonomous forcing term
In this paper we prove the Kneser property for a reaction-diffusion equation on an unbounded domain satisfying the Poincaré inequality with an external force taking values in the space H^{−1}. Using this property of solutions we check also the connectedness of the associated global pullback attracto...
| Authors: | , , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2012 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/157540 |
| Online Access: | https://hdl.handle.net/11441/157540 https://doi.org/10.1016/j.na.2011.11.007 |
| Access Level: | Open access |
| Keyword: | reaction-diffusion system, setvalued dynamical system, global attractor, Kneser property, unbounded domain |
| Summary: | In this paper we prove the Kneser property for a reaction-diffusion equation on an unbounded domain satisfying the Poincaré inequality with an external force taking values in the space H^{−1}. Using this property of solutions we check also the connectedness of the associated global pullback attractor. We study also similar properties for systems of reaction-diffusion equations in which the domain is the whole R^N. Finally, the results are applied to a generalized logistic equation. |
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