Existence and continuity of global attractors and nonhomogeneous equilibria for a class of evolution equations with non local terms

In this paper, we are concerned with some aspects of the asymptotic behavior of the dynamical system generated by evolution equations with nonlocal terms of the type ∂u(x,t)∂t=−u(x,t)+g(β(Ku)(x,t)),x∈Ω,t>0 where Ω⊂RN, β>0, N≥1 is a bounded smooth domain and K is an integral operator with symme...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical analysis and applications 2012-12, Vol.396 (2), p.590-600
Main Authors: Bezerra, Flank D.M., Pereira, Antônio L., da Silva, Severino H.
Format: Article
Language:English
Subjects:
Continuity
Global attractors
Lyapunov functional
Nonhomogeneous equilibria
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we are concerned with some aspects of the asymptotic behavior of the dynamical system generated by evolution equations with nonlocal terms of the type ∂u(x,t)∂t=−u(x,t)+g(β(Ku)(x,t)),x∈Ω,t>0 where Ω⊂RN, β>0, N≥1 is a bounded smooth domain and K is an integral operator with symmetric kernel (Ku)(x)≔∫RNJ(x,y)u(y)dy.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2012.06.042