Finite fractal dimensionality of attractors for nonlocal evolution equations

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]

Bibliographic Details
Main Authors: Severino Horacio da Silva, Flank D. M. Bezerra
Format: Article
Language:English
Published: Texas State University 2013-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/221/abstr.html