In this paper we prove frequency expansions of the resolvent and local energy decay estimates for the linear thermoelastic plate equations: u tt + Δ2u + Δθ = 0 and ;θt-Δ;θ- Δut = 0 in ω × (0, ∞), subject to Dirichlet boundary conditions: u|⌈ = Dvu|⌈ = θ|⌈ = 0 and initial conditions (u, ut, θ)|t=o = (u0, v 0, θ0). Here ω is an exterior domain (domain with bounded complement) in ℝMn with n = 2 or n = 3, the boundary ⌈ of which is assumed to be a C4-hypersurface.
- Energy estimates
- Resolvent expansion
- Thermoelastic plate equations
ASJC Scopus subject areas
- Applied Mathematics