The motion of a linear thermoelastic body of an arbitraryregular shape is studied when the loadings are applied consisting of body and boundary supplies and initial conditions. It is shown that, provided the loadings possess a bounded support Dr on the time interual [I), TJ, an energetic measure depending on t E [0, TJ and on the distance r from support Dr (i) vanishes for r?:. xt. X = const., X> 0; or (ii) decays to zero for r 50 xt, the decay rate being controlled by the factor I -r I Xt. A

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... iqueness result is established for an unbounded body without any kind of a priori restriction on the growth of the solution at infinity.