Pullback attractors for non-autonomous reaction–diffusion equation with infinite delays in C γ , L r ( Ω ) or C γ , W 1 , r ( Ω )

Pullback attractors for non-autonomous reaction–diffusion equation with infinite delays in C γ , L r ( Ω ) or C γ , W 1 , r ( Ω )

In this paper, the well-posedness for the non-autonomous reaction–diffusion equation with infinite delays on a bounded domain is established. The existence of pullback attractors for the process in Cγ,Lr(Ω) and Cγ,W1,r(Ω) is proved, respectively. The noncompact Kuratowski measure is applied to check...

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Veröffentlicht in:Boundary value problems 2018-06, Vol.2018 (1), p.1-29
Hauptverfasser: Ran, Yanping, Li, Jing
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Reaction-diffusion equations
Well posed problems
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Zusammenfassung:In this paper, the well-posedness for the non-autonomous reaction–diffusion equation with infinite delays on a bounded domain is established. The existence of pullback attractors for the process in Cγ,Lr(Ω) and Cγ,W1,r(Ω) is proved, respectively. The noncompact Kuratowski measure is applied to check the asymptotic compactness.
ISSN:1687-2762
1687-2770
DOI:10.1186/s13661-018-1017-8