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.
|Number of pages||18|
|Journal||Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis|
|Publication status||Published - 2011 Jul|
ASJC Scopus subject areas
- Mathematical Physics