Qualitative properties of certain c₀ semigroups arising in elastic systems with various dampings

This paper studies various qualitative properties, such as exponential stability, spectrum determining growth property, differentiability, of Gevrey class and analyticity, for the semigroup e^At 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.