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Exponential decay for a quasilinear viscoelastic equation
Authors:Salim A. Messaoudi  Nasser-eddine Tatar
Abstract:We consider the following nonlinear viscoelastic equation equation image together with Dirichlet-boundary conditions, in a bounded domain Ω and ρ > 0. We prove an exponential decay result for a class of relaxation functions. Our result is established without imposing the usual relation between g and its derivative (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Primary: exponential decay   Secondary: memory term  modified energy functional  viscoelastic equation  relaxation function
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