GENERAL DECAY RATES FOR TOTAL ENERGY OF A VISCOELASTIC WAVE EQUATION WITH STRONG DAMPING AND VARIABLE SOURCES

Abstract

This paper focuses on the general decay rates for total energy associated with the solution of the nonlinear viscoelastic wave equation 

on a bounded domain              under the assumption                                      on the relaxation function together with sub-critical initial energy. These refine and extend our recent results about viscoelastic wave equations.