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

Zhuangyi Liu, Jiongmin Yong

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)643-686
Number of pages44
JournalAdvances in Differential Equations
Volume3
Issue number5
StatePublished - Dec 1 1998

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