This paper studies various qualitative properties, such as exponential stability, spectrum determining growth property, differentiability, of Gevrey class and analyticity, for the semigroup eAt generated by the operator of the form where both -A0 and -A1 generate contraction semigroups on some Hilbert spaces, and B and Care certin closed defined linear operators.
|Original language||English (US)|
|Number of pages||44|
|Journal||Advances in Differential Equations|
|State||Published - Dec 1 1998|