Jing Li, Hongyinping Feng, Jieqiong Wu
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.
Submitted January 28, 2013. Published April 30, 2013.
Math Subject Classifications: 35L05 58J45.
Key Words: Delay feedback; Riemannian geometric method; variable coefficients;
semilinear wave equation.
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Jing Li School of Mathematical Sciences, Shanxi University Taiyuan, Shanxi 030006, China. Tel +86-351-7010555 fax +86-351-7010979 email: mathlj@sxu.edu.cn |
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Hongyinping Feng School of Mathematical Sciences, Shanxi University Taiyuan, Shanxi 030006, China email: fhyp@sxu.edu.cn |
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ieqiong Wu School of Mathematical Sciences, Shanxi University Taiyuan, Shanxi 030006, China email: jieqiong@sxu.edu.cn |
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