Differential and Integral Equations

Infinite-dimensional attractors for evolution equations with $p$-Laplacian and their Kolmogorov entropy

Messoud A. Efendiev and Mitsuharu Ôtani

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

In this paper we give a detailed study on the attractors for the parabolic equations in bounded domains involving $p$-Laplacian as the principal term. Not only the existence of attractors but also their new properties are presented, which cannot be observed for the non-degenerate parabolic equations. In particular, we construct infinite-dimensional attractors whose $\varepsilon$-Kolmogorov entropy behave as the polynomial of $1/\varepsilon$ as $\varepsilon$ tends to zero.

Article information

Source
Differential Integral Equations Volume 20, Number 11 (2007), 1201-1209.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356039284

Mathematical Reviews number (MathSciNet)
MR2372422

Zentralblatt MATH identifier
1212.37081

Subjects
Primary: 37L30: Attractors and their dimensions, Lyapunov exponents
Secondary: 35B41: Attractors 35K55: Nonlinear parabolic equations 35K65: Degenerate parabolic equations

Citation

Efendiev, Messoud A.; Ôtani, Mitsuharu. Infinite-dimensional attractors for evolution equations with $p$-Laplacian and their Kolmogorov entropy. Differential Integral Equations 20 (2007), no. 11, 1201--1209. https://projecteuclid.org/euclid.die/1356039284.


Export citation