On the Lp–Lq maximal regularity for the linear thermoelastic plate equation in a bounded domain
Yuka Naito · Mathematical Methods in the Applied Sciences · 2008
Abstract This paper is concerned with the thermoelastic plate equations in a domain Ω: subject to the boundary condition: u| =Dνu| =θ| =0 and initial condition: (u, ut, θ)|t=0=(u0, v0, θ0). Here, Ω is a bounded domain in ℝn(n≧2). We assume that the boundary ∂Ω of Ω is a C4 hypersurface. We obtain an Lp–Lq maximal regularity theorem. Copyright © 2008 John Wiley & Sons, Ltd.