On viscoelastic wave equation with nonlinear boundary damping and source term

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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

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

Received December 2009 Revised May 2010 Published August 2010

Abstract
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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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