Attractors for strongly damped wave equations

In this short paper we establish the existence of a global attractor for the strongly damped wave equation with a nonlinearity of critical growth, which is bounded in H2(Ω)×H2(Ω)H2(Ω)×H2(Ω) and attracts every H01(Ω)×L2(Ω)-bounded set with respect to the H01(Ω)×H01(Ω) norm.