Stability properties of an abstract system with applications to linear thermoelastic plates

摘要

This paper deals with an abstract version of the evolution system (Formula presented.) with ω ≥ 0, ruling the dynamics of linear thermoelastic plates. In particular, we will consider a more general coupling term depending on a real parameter σ. The (exponential and polynomial) decay properties of the related solution semigroup are investigated in dependence of the values of σ.