Finite-Dimensional Attractors For A General Class Of Nonautonomous Wave Equations

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Date
2000
Author
Eden, A
Kalantarov, V
Miranville, A
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Abstract
Our aim in this note is to construct attractors and exponential attractors for a general class of nonautonomous semilinear wave equations. Following the approach described in [1], we define a semigroup S(t) associated to an autonomous system, and then prove, using an energy functional, that S(t) is an a-contraction and satisfies the squeezing property. (C) 2000 Elsevier Science Ltd. All rights reserved.
URI
https://doi.org/10.1016/S0893-9659(00)00027-6
http://hdl.handle.net/11655/19791
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