Author:
Farwig Reinhard,Qian Chenyin
Abstract
AbstractThe asymptotic behavior for a class of parabolic p-Laplace equations in an open bounded or unbounded domain of $${\mathbb{R}}^N$$
R
N
is investigated. Based on a general condition on the nonlinearity f(x, u) and the invading domain technique, the global well-posedness of the equation is established. By proving the $$\omega$$
ω
-limit compactness of the continuous semigroup, the existence of the global attractor for the equation is obtained. Besides, in case of bounded domains, we also get estimates of the finite fractal dimension of the global attractor based on the classical method of $$\ell$$
ℓ
-trajectories.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Numerical Analysis,Analysis
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