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

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.

Keywords

• Delay feedback
• Riemannian geometric method
• variable coefficients
• semilinear wave equation