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

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 α-contraction and satisfies the squeezing property.