Trajectory and global attractors for generalized processes
In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem and, through this approach, some conditions for the existence of trajectory attractors are proved. By projecting the trajectory attractor on the phase space, the uniform attractor...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/92677 |
| Acceso en línea: | https://hdl.handle.net/11441/92677 https://doi.org/10.3934/dcdsb.2019047 |
| Access Level: | acceso abierto |
| Palabra clave: | Trajectory attractors Global attractors Multivalued process Dynamical boundary p-Laplacian Asymptotic behavior of solutions |
| Sumario: | In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem and, through this approach, some conditions for the existence of trajectory attractors are proved. By projecting the trajectory attractor on the phase space, the uniform attractor for the multivalued process associated to the problem is obtained and some conditions to guarantee the invariance of the uniform attractor are given. Furthermore, the existence of the uniform attractor for a class of p-Laplacian nonautonomous problems with dynamical boundary conditions is established. |
|---|