Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 36, pp. 1-14.

Title: Stabilization of semilinear wave equations with time-dependent variable coefficients
and memory
       
Authors: Sheng-Jie Li (Shanxi Univ., Taiyuan, Shanxi, China)
         Shugen Chai  (Shanxi Univ., Taiyuan, Shanxi, China)

Abstract: 
In this article, we study the stabilization of semilinear wave equations
with time-dependent variable coefficients and memory in the nonlinear boundary
feedback. We obtain the energy decay rate of the solution by an
equivalent energy approach in the framework of Riemannian geometry.

Submitted December 15, 2022. Published April 13, 2023.
Math Subject Classifications: 35B35, 35L05, 35L20
Key Words: Semilinear wave equation; time-dependent variable coefficient;
           memory; Riemannian geometry method.