Abstract
This paper studies various qualitative properties, such as exponential stability, spectrum determining growth property, differentiability, of Gevrey class and analyticity, for the semigroup $e^{\mathcal{At}}$ generated by the operator of the form $\mathcal{A}=\begin{pmatrix} -A_0 & {B}\cr {C}& {-A_1} \end{pmatrix}$, where both $-A_0$ and $-A_1$ generate contraction semigroups on some Hilbert spaces, and $B$ and $C$ are certain closed densely defined linear operators.
Citation
Zhuangyi Liu. Jiongmin Yong. "Qualitative properties of certain $C_0$ semigroups arising in elastic systems with various dampings." Adv. Differential Equations 3 (5) 643 - 686, 1998. https://doi.org/10.57262/ade/1366292557
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