Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of the global attractor in both the autonomous and nonautonomous cases. In particular, in the last case we prove tha...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/100798 |
| Acesso em linha: | https://hdl.handle.net/11441/100798 https://doi.org/10.1007/s13163-019-00323-0 |
| Access Level: | acceso abierto |
| Palavra-chave: | Differential inclusions Reaction-diffusion equations Pullback attractors Nonautonomous dynamical systems Multivalued dynamical systems Structure Comparison of solutions |
| Resumo: | In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of the global attractor in both the autonomous and nonautonomous cases. In particular, in the last case we prove that the pullback attractor is confined between two special bounded complete trajectories, which play the role of nonautonomous equilibria. |
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