Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type

@article{Qin2005GlobalEA,
  title={Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type},
  author={Yuming Qin and Jaime E. Mu{\~n}oz Rivera},
  journal={Journal of Elasticity},
  year={2005},
  volume={75},
  pages={125-145}
}
In this paper we prove the global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type provided that the initial data are close to the equilibrium and the relaxation kernel is strongly positive definite and decays exponentially. Moreover, the global solution, together with its the third-order full energy, is exponentially stable for any t > 0. 

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