Electron. J. Differential Equations, Vol. 2023 (2023), No. 36, pp. 1-14.

Stabilization of semilinear wave equations with time-dependent variable coefficients and memory

Sheng-Jie Li, Shugen Chai

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.
DOI: https://doi.org/10.58997/ejde.2023.36

Show me the PDF file (318 KB), TEX file for this article.

Sheng-Jie Li
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: lishengjiebo@163.com
Shugen Chai
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: sgchai@sxu.edu.cn

Return to the EJDE web page