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- ItemSmooth attractors for strongly damped wave equations(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Pata, Vittorino; Zelik, SergeyThis paper is concerned with the semilinear strongly damped wave equation ptt u-Delta pt u-Delta u+varphi(u)=f. The existence of compact global attractors of optimal regularity is proved for nonlinearities phi of critical and supercritical growth.