Artículo
Pullback attractor for a non-autonomous reaction-diffusion equation in some unbounded domains
Autor/es | Anguiano Moreno, María |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2010 |
Fecha de depósito | 2016-07-21 |
Publicado en |
|
Resumen | The existence of a pullback attractor in L2(Ω) for the following nonautonomous reaction-di usion equation
∂u
∂t − △u = f(u) + h(t), in Ω × (τ, +∞),
u = 0, on ∂Ω × (τ, +∞),
u(x, τ ) = uτ (x), x ∈ Ω,
is proved in this ... The existence of a pullback attractor in L2(Ω) for the following nonautonomous reaction-di usion equation ∂u ∂t − △u = f(u) + h(t), in Ω × (τ, +∞), u = 0, on ∂Ω × (τ, +∞), u(x, τ ) = uτ (x), x ∈ Ω, is proved in this paper, when the domain Ω is not necessarily bounded but satisfying the Poincaré inequality, and h ∈ L2 loc(R; H−1(Ω)). The main concept used in the proof is the asymptotic compactness of the process generated by the problem. |
Agencias financiadoras | Junta de Andalucía |
Identificador del proyecto | P07-FQM-02468 |
Cita | Anguiano Moreno, M. (2010). Pullback attractor for a non-autonomous reaction-diffusion equation in some unbounded domains. Boletín de la Sociedad Española de Matemática Aplicada, 51, 9-16. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Pullback attractor for a non-a ... | 311.7Kb | [PDF] | Ver/ | |