Finite dimensional global attractor for a class of doubly nonlinear parabolic equations

Alain Miranville

Type: Article

Publication Date: 2006-02-08

Citations: 20

DOI: https://doi.org/10.1007/s11533-005-0010-5

Abstract

Abstract Our aim in this paper is to study the long time behavior of a class of doubly nonlinear parabolic equations. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.

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Works Cited by This (15)

Action	Title	Year	Authors
+	Monotone Operators in Banach Space and Nonlinear Partial Differential Equations	2013	R. E. Showalter
+	Operateurs Maximaux Monotones - Et Semi-Groupes De Contractions Dans Les Espaces De Hilbert	1973	Haı̈m Brezis
+	Doubly nonlinear parabolic-type equations as dynamical systems	1991	A. Eden B. Michaux Jean‐Michel Rakotoson
+	Global attractor for a class of doubly nonlinear abstract evolution equations	2006	Antonio Segatti
+	Étude d'une équation doublement non linéaire	1977	A. Bamberger
+	Quasilinear elliptic-parabolic differential equations	1983	Hans Wilhelm Alt Stephan Luckhaus
+	Attractors of Evolution Equations	1992	Anatoli Babin M. I. Vishik
+	Exponential attractors for a nonlinear reaction-diffusion system in	2000	Messoud Efendiev Alain Miranville Sergey Zelik
+	On A Class Of Doubly Nonlinear Evolution Equations	1990	Pierluigi Colli Augusto Visintin
+	Large Time Behavior via the Method of ℓ-Trajectories	2002	Josef Málek Dalibor Pražák