TITLE:
Notes on the Global Attractors for Semigroup
AUTHORS:
Lan Xu, Yuhua Shi
KEYWORDS:
Natural Global Attractors; Measure of Noncompactness; Asymptotic Compactness; w-Limit Compact
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.2 No.4,
December
2,
2013
ABSTRACT: First we introduce two necessary and sufficient conditions which ensure the existence of the global attractors for semigroup. Then we recall the concept of measure of noncompactness of a set and recapitulate its basic properties. Finally, we prove that these two conditions are equivalent directly.