Abstract
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 H 2 ( Ω ) × H 2 ( Ω ) and attracts every H 0 1 ( Ω ) × L 2 ( Ω ) -bounded set with respect to the H 0 1 ( Ω ) × H 0 1 ( Ω ) norm.
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