Existence of Exponential Attractors for the Plate Equations with Strong Damping

We show the existence of (H2 0 (Ω)×L2(Ω), H2 0 (Ω)×H2 0 (Ω))-global attractors for plate equations with critical nonlinearity when g ∈ H−2(Ω). Furthermore we prove that for each fixed T > 0, there is an (H2 0 (Ω) × L2(Ω), H2 0 (Ω) × H2 0 (Ω))T -exponential attractor for all g ∈ L2(Ω), which attracts any H2 0 (Ω)×L2(Ω)-bounded set under the stronger H2(Ω)×H2(Ω)-norm for all t ≥ T .