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1998 Qualitative properties of certain $C_0$ semigroups arising in elastic systems with various dampings
Zhuangyi Liu, Jiongmin Yong
Adv. Differential Equations 3(5): 643-686 (1998).

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

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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.

Information

Published: 1998
First available in Project Euclid: 18 April 2013

zbMATH: 0962.47020
MathSciNet: MR1665862

Subjects:
Primary: 47D06
Secondary: 34G10, 35B99, 73D30

Rights: Copyright © 1998 Khayyam Publishing, Inc.

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Vol.3 • No. 5 • 1998
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