Global attractors for semigroups of closed operators
- Pata, Vittorino
- Zelik, Sergey
2010 Mathematics Subject Classification
- 34D45 47H20 47J35
- Semigroups of operators, abstract Cauchy problems, closed operators, global attractors, connected attractors
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 $S(t)in C(X,X)$ is replaced by the much weaker requirement that $S(t)$ be a closed map.
- Math. Methods Appl. Sci., 29 (2006) pp. 1291-1306.