Analyticity and exponential stability of semigroups for the elastic systems with structural damping in Banach spaces

• DOI: 10.1016/j.jmaa.2013.08.028
• Publication Date: 2013-08-27T02:02:12Z
• Authors: Hongxia Fan; Yongxiang Li
• Keywords: Evolution equation; Operator (biology); Analytic semigroup; C0-semigroup; Structural Stability

In this paper, we consider a second order evolution equation in Banach space, which can model an elastic system with structural damping. New forms of the corresponding first are introduced, and their well-posed property is proved by means operator semigroup theory. We give sufficient conditions for analyticity exponential stability associated semigroups.