Some qualitative results for a modification of the Green–Lindsay thermoelasticity

Abstract

In this short note we consider a recent modification of the Green–Lindsay thermoelastic theory proposed at Yu et al. (Meccanica 53:2543–2554, 2018). We consider a functional defined on the solutions of the problem. It allows us to obtain the continuous dependence of the solutions with respect to the initial conditions and to the supply terms, the time exponential decay of solutions and an alternative of Phragme´n–Lindelo¨f type for the spatial behaviour.