The initial boundary value problem for a viscoelastic equation with linear damping and nonlinear source term in a bounded domain is considered. The decay rate of solution energy is discussed under some conditions on relaxation function $g$ and initial data by adopting the perturbed energy method of [4] and modifying the methods of [11, 17]. Decay estimates of the energy function are also given.
Taiwanese J. Math.
16(1):
113-128
(2012).
DOI: 10.11650/twjm/1500406531