Article
On the Kneser property for reaction-diffusion equations in some unbounded domains with an H^{-1}-valued non-autonomous forcing term
Author/s | Anguiano Moreno, María
![]() ![]() ![]() ![]() ![]() ![]() ![]() Morillas Jurado, Francisco Valero Cuadra, José |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2012 |
Deposit Date | 2024-05-03 |
Abstract | 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. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España Junta de Andalucía Comunidad Autónoma de Murcia |
Project ID. | MTM2008- 00088 y MTM2009-11820
![]() P07-FQM-02468 ![]() 08667/PI/08 ![]() |
Files | Size | Format | View | Description |
---|---|---|---|---|
Anguiano_Morillas_Valero.pdf | 363.3Kb | ![]() | View/ | |