A PHRAGMÈN-LINDELÖF PRINCIPLE IN DYNAMIC LINEAR THERMOELASTICITY
Stan Chiriţă · Journal of Thermal Stresses · 1997
A dynamic analogue of the Phragmèn-Lindelöf principle b established for an unbounded body composed of an inhomogeneous and anisotropic linear 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 thermoelastic process either asymptotically grows faster than an increasing exponential function or asymptotically decays faster than a decreasing exponential function. A uniqueness theorem valid for infinite domains is established, and some explicit bounds for the decay rate are given.