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General decay for a quasilinear system of viscoelastic equations with nonlinear damping
Authors:Jong Yeoul Park  Sun Hye Park
Institution:Department of Mathematics, Pusan National University, Busan 609-735, South Korea
Abstract:In this paper, we consider a system of coupled quasilinear viscoelastic equations with nonlinear damping. We use the perturbed energy method to show the general decay rate estimates of energy of solutions, which extends some existing results concerning a general decay for a single equation to the case of system, and a nonlinear system of viscoelastic wave equations to a quasilinear system.
Keywords:general decay  coupled quasilinear equations  viscoelastic equations  perturbed energy method
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