Article
Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations
Author/s | Caraballo Garrido, Tomás
![]() ![]() ![]() ![]() ![]() ![]() ![]() Herrera Cobos, Marta Marín Rubio, Pedro ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2018-10 |
Deposit Date | 2019-03-12 |
Published in |
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Abstract | In this paper, the existence and uniqueness of weak and strong solutions for a
non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the ... In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the frameworks of universes of fixed bounded sets and those given by a tempered growth condition, and some relationships between them are established. Finally, we prove the existence of minimal pullback attractors in the H1-norm and study relationships among these new families and those given previously in the L2 - context. The results are also new in the autonomous framework in order to ensure the existence of global compact attractors, as a particular case. |
Project ID. | MTM2015-63723-P
![]() P12-FQM-1492 ![]() BES2012-053398 ![]() |
Citation | Caraballo Garrido, T., Herrera Cobos, M. y Marín Rubio, P. (2018). Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 148 (5), 957-981. |
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