Open AccessA result on the existence of global attractors for semigroups of closed operators
Author(s) -
Vittorino Pata,
Sergey Zelik
Publication year - 2007
Publication title -
communications on pure andamp applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2007.6.481
Subject(s) - banach space , mathematics , pure mathematics , semigroup , space (punctuation) , operator theory , discrete mathematics , computer science , operating system
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 $\mathcal X$, where the strong continuity $S(t)\in C(\mathcal X,\mathcal X)$ is replaced by the much weaker requirement that $S(t)$ be a closed map.
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