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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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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Abstract 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.
AbstractList 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.
Author Jieqiong Wu
Hongyinping Feng
Jing Li
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Snippet We study the uniform stabilization of a semilinear wave equation with variable coefficients and a delay term in the boundary feedback. The Riemannian geometry...
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SubjectTerms Delay feedback
Riemannian geometric method
semilinear wave equation
variable coefficients
Title Stabilization of a semilinear wave equation with variable coefficients and a delay term in the boundary feedback
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