On the spatial behavior in two-temperature generalized thermoelastic theories

  • Alain Miranville
  • Ramon Quintanilla


This paper investigates the spatial behavior of the solutions of two generalized thermoelastic theories with two temperatures. To be more precise, we focus on the Green–Lindsay theory with two temperatures and the Lord–Shulman theory with two temperatures. We prove that a Phragmén–Lindelöf alternative of exponential type can be obtained in both cases. We also describe how to obtain a bound on the amplitude term by means of the boundary conditions for the Green–Lindsay theory with two temperatures.


Generalized thermoelasticity with two temperatures Spatial behavior Phragmén–Lindelöf alternative 

Mathematics Subject Classification

35B53 74F05 35B40 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques et Applications, UMR CNRS 7348 - SP2MIUniversité de PoitiersChasseneuil Futuroscope CedexFrance
  2. 2.ESEIAAT-UPC MatemàticaTerrassaSpain

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