Artículo
Pullback attractors for a reaction-diffusion equation in a general nonempty open subset of R^N with non-autonomous forcing term in H^{−1}
Autor/es | Anguiano Moreno, María |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2015 |
Fecha de depósito | 2024-05-03 |
Resumen | The existence of minimal pullback attractors in L^2(Ω) for a non-autonomous reaction-diffusion equation, in the frameworks of universes of fixed bounded sets and that given by a tempered growth condition, is proved in this ... The existence of minimal pullback attractors in L^2(Ω) for a non-autonomous reaction-diffusion equation, in the frameworks of universes of fixed bounded sets and that given by a tempered growth condition, is proved in this paper, when the domain Ω is a general nonempty open subset of R^N, and h ∈ L^2_loc(R;H^{−1}(Ω)). The main concept used in the proof is the asymptotic com- pactness of the process generated by the problem. The relation among these families is also discussed. |
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