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

Electronic Journal of Differential Equations

article

Sheng-Jie Li¹  Shugen Chai¹ 

[1] School of Mathematical Sciences Shanxi University Taiyuan

关键词: Semilinear wave equation;    time-dependent variable coefficient;    memory;    Riemannian geometry method;   

DOI  :  10.58997/ejde.2023.36

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

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.

【 授权许可】

CC BY