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Global attractors for semigroups of closed operators

2006, Pata, Vittorino, Zelik, Sergey

In this note, we establish a general result on the existence of global attractors for semigroups S(t) of operators acting on a Banach space X, where the strong continuity S(t) [Elemenz von] C(X,X) is replaced by the much weaker requirement that S(t) be a closed map.