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Uniform decay rates for second-order hyperbolic equations with variable coefficients

Article type: Research Article

Authors: Hamchi, Ilhem

Affiliations: Department of Mathematics, University of Batna, Algeria. E-mail: [email protected]

Abstract: In this paper, we consider a second-order hyperbolic equations with variable coefficients and linear lower-order term. We use a new main multiplier and a suitable nonlinear version of a compactness uniqueness argument (Acta. Math. Sin. – Engl. Ser. 20(6) (2004), 1057–1072) to obtain the exponential stabilization of this system where no condition of smallness is needed.

Keywords: Riemann geometry method, uniqueness continuation result

DOI: 10.3233/ASY-2008-0867

Journal: Asymptotic Analysis, vol. 57, no. 1-2, pp. 71-82, 2008

Published: 2008
Price: EUR 27.50
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