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December  2016, 36(12): 6899-6919. doi: 10.3934/dcds.2016100

## Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions

 1 Department of Mathematics, Pusan National University, Busan, 609-735

Received  February 2016 Revised  July 2016 Published  October 2016

In this paper, we consider the viscoelastic equation with damping and source terms and acoustic boundary conditions. We prove a global existence of solutions and uniform decay rates of the energy without imposing any restrictive growth assumption on the damping term and weakening of the usual assumptions on the relaxation function. This paper is to improve the result of [4] by applying the method developed in [17].
Citation: Tae Gab Ha. Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions. Discrete & Continuous Dynamical Systems - A, 2016, 36 (12) : 6899-6919. doi: 10.3934/dcds.2016100
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##### References:
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