Pullback attractors for non-autonomous reaction–diffusion equation with infinite delays in Cγ,Lr(Ω) $C_{\gamma,L^{r}(\Omega)}$ or Cγ,W1,r(Ω) $C_{\gamma,W^{1,r}(\Omega)}$

Abstract 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) $C_{\gamma,L^{r}(\Omega)}$ and Cγ,W1,r(Ω) $C_{\gamma,W^{1,r}(\Omega)}$ is proved, re...

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Bibliographic Details
Main Authors: Yanping Ran, Jing Li
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1017-8