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Intrinsic decay rate estimates for abstract wave equation with memory
Authors:Jianghao Hao  Jing Wei
Affiliation:School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, China
Abstract:In this paper, we consider an abstract wave equation in the presence of memory. The viscoelastic kernel g(t) is subject to a general assumption urn:x-wiley:mma:media:mma4375:mma4375-math-0001, where the function H(·)∈C1(R+) is positive, increasing and convex with H(0)=0. We give the decay result as a solution to a given nonlinear dissipative ODE governed by the function H(s). Copyright © 2017 John Wiley & Sons, Ltd.
Keywords:abstract wave equation  intrinsic decay rate  memory term
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