Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 221, pp. 1-9.

Title: Finite fractal dimensionality of attractors for nonlocal
       evolution equations

Authors: Severino Horacio da Silva (UAME/CCT/UFCG, Campina Grande, PB, Brazil)
         Flank D. M. Bezerra (UFPB, Joao Pessoa, PB, Brazil)

Abstract:
 In this work we consider the Dirichlet problem governed by
 a non local evolution equation. We prove the existence of
 exponential attractors for the flow generated by this problem,
 and as a consequence we obtain the finite dimensionality of the global
 attractor whose existence was proved in [1]

Submitted November 1, 2012. Published September 04, 2013.
Math Subject Classifications: 34G20, 47H15.
Key Words: Exponential attractor; global attractor; fractal dimension;  
           non local evolution equations.