Exponential stabilization of a viscoelastic wave equation with dynamic boundary conditions

Article

Abstract

In this paper, we study the stabilization of a semi-linear viscoelastic wave equation subject to semi-linear and dynamical boundary conditions. The kernels used are of strongly positive definite type. We prove that internal and boundary memory damping are strong enough, via transmission process (\({u|_{\Gamma} = v}\)), to stabilize the whole system.

Keywords

Wave equation Viscoelastic Dynamical boundary conditions Global existence Asymptotic stability Strongly positive definite kernels 

Mathematics Subject Classification

93D20 35L15 35L70 45M10 65M60 45N05 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of Sciences and Technology Houari BoumedieneBab EzzouarAlgeria

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