%0 Journal Article %T Notes on the Propagators of Evolution Equations %A Yu Lin %A Ti-Jun Xiao %A Jin Liang %J Advances in Difference Equations %D 2010 %I Springer %R 10.1155/2010/795484 %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://dx.doi.org/10.1155/2010/795484