Stability properties of an abstract system with applications to linear thermoelastic plates
详细信息 查看全文
- 作者：Filippo Dellro (1)
Jaime E. Muoz Rivera (2) (3)
Vittorino Pata (1) - 关键词：35B35 ; 35B40 ; 47D03 ; 74K20 ; Linear thermoelastic plates ; contraction semigroups ; exponential decay ; polynomial decay
- 刊名：Journal of Evolution Equations
- 出版年：2013
- 出版时间：December 2013
- 年：2013
- 卷：13
- 期：4
- 页码：777-794
- 全文大小：
- 作者单位：Filippo Dellro (1)
Jaime E. Muoz Rivera (2) (3)
Vittorino Pata (1)
1. Dipartimento di Matematica . Brioschi Politecnico di Milano, Via Bonardi 9, 20133, Milan, Italy
2. National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitadinha-Petrolis, Rio de Janeiro, RJ, 25651-070, Brazil
3. Av. Horio Macedo, Centro de Tecnologia,Instituto de Matemica-UFRJ, Cidade Universitia-Ilha do Fundo, Rio de Janeiro, RJ, 21941-972, Brazil - ISSN：1424-3202
文摘
This paper deals with an abstract version of the evolution system $$\left\{\begin{array}{ll}u_{tt}-\omega \Delta u_{tt}+\Delta (\Delta u + \theta)=0 \\\theta_t - \Delta \theta -\Delta u_t=0\end{array}\right.$$ with 0, ruling the dynamics of linear thermoelastic plates. In particular, we will consider a more general coupling term depending on a real parameter The (exponential and polynomial) decay properties of the related solution semigroup are investigated in dependence of the values of