Artículo
On the Kneser property for reaction-diffusion equations in some unbounded domains with an H^{-1}-valued non-autonomous forcing term
Autor/es | Anguiano Moreno, María
Morillas Jurado, Francisco Valero Cuadra, José |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2012 |
Fecha de depósito | 2024-05-03 |
Resumen | 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 ... 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. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España Junta de Andalucía Comunidad Autónoma de Murcia |
Identificador del proyecto | MTM2008- 00088 y MTM2009-11820
P07-FQM-02468 08667/PI/08 |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Anguiano_Morillas_Valero.pdf | 363.3Kb | [PDF] | Ver/ | |