Lp theory for the linear thermoelastic plate equations in bounded and exterior domains
R. Denk, R. Racke, Y. Shibata
Abstract. The paper is concerned with linear thermoelastic plate equations in a domain Ω subject to the Dirichlet boundary condition. Here, Ω is a bounded or exterior domain in Rn with n being different from 2. We assume that the boundary of Ω is a C4 hypersurface. We show that, for any p with 1 < p < ∞, the associated semigroup (T(t))t>0 is analytic. Moreover, if Ω is bounded, then (T(t)) is exponentially stable.
Adv. Differ. Equ. 14 (2009), 685-715
The paper is available here: Preprint version