Geodesic
Finite fractal dimensionality of attractors for nonlocal evolution equations
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a150,
     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},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a150/}
}
TY  - JOUR
AU  - da Silva, Severino Horacio
AU  - Bezerra, Flank D.M.
TI  - Finite fractal dimensionality of attractors for nonlocal evolution equations
JO  - Electronic Journal of Differential Equations
PY  - 2013
VL  - 2013
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a150/
LA  - en
ID  - EJDE_2013__2013__a150
ER  - 
%0 Journal Article
%A da Silva, Severino Horacio
%A Bezerra, Flank D.M.
%T Finite fractal dimensionality of attractors for nonlocal evolution equations
%J Electronic Journal of Differential Equations
%D 2013
%V 2013
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a150/
%G en
%F EJDE_2013__2013__a150
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__a150/