%0 Journal Article
%T Loss of exponential stability for a thermoelastic system with memory
%A Bruno Ferreira Alves
%A Waldemar Donizete Bastos
%A Carlos Alberto Raposo
%J Electronic Journal of Differential Equations
%D 2010
%I Texas State University
%X In this article we study a thermoelastic system considering the linearized model proposed by Gurtin and Pipkin [8] instead of the Fourier's law for the heat flux. We use theory of semigroups [9, 11] combining Pruss' Theorem [10] and the idea developed in [5] to show that the system is not exponentially stable.
%K Heat conduction with memory
%K C_0-semigroup
%K decay of solutions
%K thermoelastic system
%U http://ejde.math.txstate.edu/Volumes/2010/132/abstr.html