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FINITE FRACTAL DIMENSIONALITY OF ATTRACTORS FOR NONLOCAL EVOLUTION EQUATIONS

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Author(s):
da Silva, Severino Horacio ; Bezerra, Flank D. M.
Total Authors: 2
Document type: Journal article
Source: Electronic Journal of Differential Equations; v. N/A, p. 9-pg., 2013-09-04.
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]. (AU)

FAPESP's process: 11/04166-5 - Continuity of attractors to parabolic problems
Grantee:Marcelo José Dias Nascimento
Support Opportunities: Regular Research Grants