Artículo
Attractors for a random evolution equation with infinite memory: Theoretical results
Autor/es | Caraballo Garrido, Tomás
Garrido Atienza, María José Schmalfuss, Björn Valero Cuadra, José |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2017-07 |
Fecha de depósito | 2017-04-27 |
Publicado en |
|
Resumen | The long-time behavior of solutions (more precisely, the existence of random pullback attractors) for an integro-differential parabolic equation of diffusion type with memory terms, more particularly with terms containing ... The long-time behavior of solutions (more precisely, the existence of random pullback attractors) for an integro-differential parabolic equation of diffusion type with memory terms, more particularly with terms containing both finite and infinite delays, as well as some kind of randomness, is analyzed in this paper. We imposed general assumptions not ensuring uniqueness of solutions, which implies that the theory of multivalued dynamical system has to be used. Furthermore, the emphasis is put on the existence of random pullback attractors by exploiting the techniques of the theory of multivalued nonautonomous/random dynamical systems. |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P
P12-FQM-1492 19294/PI/14 |
Cita | Caraballo Garrido, T., Garrido Atienza, M.J., Schmalfuss, B. y Valero Cuadra, J. (2017). Attractors for a random evolution equation with infinite memory: Theoretical results. Discrete and Continuous Dynamical Systems - Series B, 22 (5), 1779-1800. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Attractors for a random evolution ... | 258.5Kb | [PDF] | Ver/ | |