Electron. J. Diff. Equ., Vol. 2013 (2013), No. 112, pp. 1-18.

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

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.

Show me the PDF file (268 KB), TEX file, and other files for this article.

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
Hongyinping Feng
School of Mathematical Sciences, Shanxi University
Taiyuan, Shanxi 030006, China
email: fhyp@sxu.edu.cn
ieqiong Wu
School of Mathematical Sciences, Shanxi University
Taiyuan, Shanxi 030006, China
email: jieqiong@sxu.edu.cn

Return to the EJDE web page