Geodesic
Finite fractal dimensionality of attractors for nonlocal evolution equations
Electronic journal of differential equations, Tome 2013 (2013)
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]
Classification : 34G20, 47H15
Keywords: exponential attractor, global attractor, fractal dimension, non local evolution equations 
@article{EJDE_2013__2013__a50,
     author = {da Silva,  Severino Horacio and Bezerra,  Flank D.M.},
     title = {Finite fractal dimensionality of attractors for nonlocal evolution equations},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1295.34065},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a50/}
}
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TI  - Finite fractal dimensionality of attractors for nonlocal evolution equations
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PY  - 2013
VL  - 2013
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%A Bezerra,  Flank D.M.
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%F EJDE_2013__2013__a50
da Silva,  Severino Horacio; Bezerra,  Flank D.M. Finite fractal dimensionality of attractors for nonlocal evolution equations. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a50/