In this paper we give a detailed study of the global attractors for parabolic equations governed by the p-Laplacian in a heterogeneous medium. Not only the existence but also the infinite dimensionality of the global attractors is presented by showing that their ε-Kolmogorov entropy behaves as a polynomial of the variable as ε tends to zero, which is not observed for non-degenerate parabolic equations. The upper and lower bounds for the Kolmogorov ε-entropy of infinite-dimensional attractors are also obtained.
@article{AIHPC_2011__28_4_565_0, author = {Efendiev, Messoud A. and \^Otani, Mitsuharu}, title = {Infinite-dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {28}, year = {2011}, pages = {565-582}, doi = {10.1016/j.anihpc.2011.03.006}, zbl = {1242.35159}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2011__28_4_565_0} }
Efendiev, Messoud A.; Ôtani, Mitsuharu. Infinite-dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium. Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011) pp. 565-582. doi : 10.1016/j.anihpc.2011.03.006. http://gdmltest.u-ga.fr/item/AIHPC_2011__28_4_565_0/
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