Severino Horacio da Silva, Flank D. M. Bezerra
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 4, 2013.
Math Subject Classifications: 34G20, 47H15.
Key Words: Exponential attractor; global attractor; fractal dimension;
non local evolution equations.
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Severino Horácio da Silva Unidade Acadêmica de Matemática e Estatística, UAME/CCT/UFCG Rua Aprígio Veloso, 882, Bairro Universitário Campina Grande-PB 58429-900, Brazil email: horaciousp@gmail.com, horacio@dme.ufcg.edu.br |
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Flank D. M. Bezerra Departamento de Matemática, UFPB Cidade Universitária, Campus I João Pessoa-PB 58051-900, Brazil email: flank@mat.ufpb.br |
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