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November  2010, 9(6): 1543-1576. doi: 10.3934/cpaa.2010.9.1543

On viscoelastic wave equation with nonlinear boundary damping and source term

Tae Gab Ha 1,

1. 

Department of Mathematics, Pusan National University, Busan, 609-735, South Korea

Received  December 2009 Revised  May 2010 Published  August 2010

In this paper, we consider the viscoelastic wave equation with nonlinear boundary damping and source term. This work is devoted to prove the existence of solutions and uniform decay rates of the energy without imposing any restrictive growth assumption on the damping term and weakening the usual assumptions on the relaxation function.
Keywords: boundary damping term, relaxation function., Viscoelastic wave equation, source term.
Mathematics Subject Classification: Primary: 35B40, 35L20; Secondary: 74D10, 74J0.
Citation: Tae Gab Ha. On viscoelastic wave equation with nonlinear boundary damping and source term. Communications on Pure & Applied Analysis, 2010, 9 (6) : 1543-1576. doi: 10.3934/cpaa.2010.9.1543
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