On the rate of decay of solutions to linear viscoelastic equation

We investigate the Lp–Lq estimate of solutions to the Cauchy problem of linear viscoelastic equation, especially, the diffusion wave property of linear viscoelastic equation like the Navier–Stokes equation in the compressible fluid case, which was studied by D. Hoff and K. Zumbrum and Tai-P. Liu and W. Wang. Copyright © 2000 John Wiley & Sons, Ltd.