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Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping (1109.5921v1)
Published 27 Sep 2011 in math.AP and math.FA
Abstract: The initial boundary value problem for a system of viscoelastic wave equations of Kirchhoff type with strong damping is considered. We prove that, under suitable assumptions on relaxation functions and certain initial data, the decay rate of the solutions energy is exponential.