Stabilization of a semilinear wave equation with variable coefficients and a delay term in the boundary feedback

We study the uniform stabilization of a semilinear wave equation with variable coefficients and a delay term in the boundary feedback. The Riemannian geometry method is applied to prove the exponential stability of the system by introducing an equivalent energy function.

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2013; no. 112; pp. 1 - 18
Main Authors Jing Li, Hongyinping Feng, Jieqiong Wu
Format Journal Article
LanguageEnglish
Published Texas State University 30.04.2013
Subjects
Delay feedback
Riemannian geometric method
semilinear wave equation
variable coefficients
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Summary:We study the uniform stabilization of a semilinear wave equation with variable coefficients and a delay term in the boundary feedback. The Riemannian geometry method is applied to prove the exponential stability of the system by introducing an equivalent energy function.
ISSN:1072-6691