On the upper semicontinuity of global attractors for damped wave equations

Abstract

We provide a new proof of the upper-semicontinuity property for the global attractorsadmitted by the solution operators associated with some strongly damped wave equations. In particular,we demonstrate an explicit control over semidistances between trajectories in the weak energy phasespace in terms of the perturbation parameter. This result strengthens the recent work by Y. Wang andC. Zhong [7].

Keywords

• Upper-semicontinuity| global attractor| strongly damped wave equation