Finite-dimensional attractors for a general class of nonautonomous wave equations

Authors
Eden, A Kalantarov, V Miranville, A
Citation
A. Eden et al., Finite-dimensional attractors for a general class of nonautonomous wave equations, APPL MATH L, 13(5), 2000, pp. 17-22
Citations number
12
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
13
Issue
5
Year of publication
2000
Pages
17 - 22
Database
ISI
SICI code
0893-9659(200007)13:5<17:FAFAGC>2.0.ZU;2-Z
Abstract
Our aim in this note is to construct attractors and exponential attractors for a general class of nonautonomous semilinear wave equations. Following t he approach described in [1], we define a semigroup S(t) associated to an a utonomous system, and then prove, using an energy functional, that S(t) is an a-contraction and satisfies the squeezing property. (C) 2000 Elsevier Sc ience Ltd. All rights reserved.