General decay for a quasilinear system of viscoelastic equations with nonlinear damping |
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Authors: | Jong Yeoul Park Sun Hye Park |
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Institution: | Department of Mathematics, Pusan National University, Busan 609-735, South Korea |
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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. |
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Keywords: | general decay coupled quasilinear equations viscoelastic equations perturbed energy method |
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