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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.
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Shun-Tang Wu (2012) studied this question.
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