UNIFORM RATES OF DECAY IN ANISOTROPIC THERMO-VISCOELASTICITY

We consider the anisotropic and inhomogeneous thermo-viscoelastic equa tion. We prove that the first and second-order energy decay exponentia lly as time goes to infinity provided the relaxation function also dec ays exponentially to zero. While if the relaxation functions decay pol ynomially to zero, then the energy decays also polynomially. That is, the kernel of the convolution defines the rate of decay of the solutio n.