Nonlinear boundary stabilization of a compactly coupled system of wave equations with variable coefficients

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Nonlinear boundary stabilization of a compactly coupled system of wave equations with variable coefficients
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                        LEI JuanLEI Juan
School of Mathematics and Physics,Nanjing University of Information Science and Technology,Nanjing〓〓210044,China
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Abstract:

In this paper,we investigate the stabilization of the compactly coupled wave equations with variable coefficients and nonlinear dissipative boundary feedback.The energy decay estimates of solutions are obtained by the Riemannian geometry method and the multiplier technique.

Key words:multiplier method;nonlinear boundary feedback;riemannian manifold;energy decay.

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LEI Juan. Nonlinear boundary stabilization of a compactly coupled system of wave equations with variable coefficients[J]. Journal of Nanjing University of Information Science & Technology,2011,(2):172-183

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Received:January 05,2011
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Address：No. 219, Ningliu Road, Nanjing, Jiangsu Province

Postcode：210044

Phone：025-58731025

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