Local Energy Decay Estimate of Solutions to the Thermoelastic Plate Equations in Two- and Three-Dimensional Exterior Domains

R. Denk, R. Racke, Y. Shibata

Abstract. In this paper we prove frequency expansions of the resolvent and local energy decay estimates for the linear thermoelastic plate in the domain Ω subject to Dirichlet boundary conditions.
Here Ω is an exterior domain (domain with bounded complement) in Rn with n=2 or n=3, the boundary Γ of which is assumed to be a C4-hypersurface.

Z. Anal. Anwendungen 29 (2010), 21-62.

The paper is available here: Preprint version