Finite fractal dimensionality of attractors for nonlocal evolution equations

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]

Keywords

• Exponential attractor
• global attractor
• fractal dimension
• non local evolution equations