Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 93, pp. 1-9.

Title: Uniform decay of solutions to Cauchy viscoelastic problems
       with density
       
Author: Mohammad Kafini (KFUPM, Dhahran, Saudi Arabia)

Abstract:
 In this article we consider the decay of solutions to
 a linear Cauchy viscoelastic problem with density.
 This study includes the exponential and polynomial
 rates as particular cases.  To compensate for the lack
 of Poincare's inequality in the whole space, we consider
 the solutions in spaces weighted by the density.

Submitted May 25, 2011. Published July 18, 2011.
Math Subject Classifications: 35B05, 35L05, 35L15, 35L70
Key Words: Cauchy problem; relaxation function; viscoelastic; 
           weighted spaces.