A PHRAGMEN-LINDELOF PRINCIPLE IN DYNAMIC LINEAR THERMOELASTICITY

A dynamic analogue of the Phragmen-Lindelof principle is established f or an unbounded body composed of an inhomogeneous and anisotropic line ar thermoelastic material. The asymptotic behavior of either a volume measure of the total energy or alternative cross-sectional measure is studied It is shown that the cross-sectional measure of a thermoelasti c process either asymptotically grows faster than an increasing expone ntial function or asymptotically decays faster than a decreasing expon ential function. A uniqueness theorem valid far infinite domains is es tablished, and some explicit bounds for the decay rate are given.