Infinite-dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium
Annales de l'I.H.P. Analyse non linéaire, Volume 28 (2011) no. 4, p. 565-582

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 1/ϵ 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},
     publisher = {Elsevier},
     volume = {28},
     number = {4},
     year = {2011},
     pages = {565-582},
     doi = {10.1016/j.anihpc.2011.03.006},
     zbl = {1242.35159},
     language = {en},
     url = {http://www.numdam.org/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, Volume 28 (2011) no. 4, pp. 565-582. doi : 10.1016/j.anihpc.2011.03.006. http://www.numdam.org/item/AIHPC_2011__28_4_565_0/

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