Abstract
We use the Lagrange identity method and the logarithmic
convexity to obtain uniqueness and exponential growth of
solutions in the thermoelasticity of type III and
thermoelasticity without energy dissipation. As this is not the
first contribution of this kind in this theory, it is worth
remarking that the assumptions we use here are different from
those used in other previous contributions. We assume that the
elasticity tensor is positive semidefinite, but we allow that the
constitutive tensor of the entropy flux vector