%0 Journal Article %T Notes on the Propagators of Evolution Equations %A Lin Yu %A Xiao Ti-Jun %A Liang Jin %J Advances in Difference Equations %D 2010 %I Springer %X We consider the propagator of an evolution equation, which is a semigroup of linear operators. Questions related to its operator norm function and its behavior at the critical point for norm continuity or compactness or differentiability are studied. %U http://www.advancesindifferenceequations.com/content/2010/795484