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

IF 1 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2022-12-15 DOI:10.58997/ejde.2023.36

Sheng-Jie Li, Shugen Chai

引用次数: 0

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.

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具有时变系数和记忆的半线性波动方程的镇定

本文研究了具有时变系数和记忆的半线性波动方程在非线性边界反馈下的镇定问题。在黎曼几何的框架下，用等效能量法得到了解的能量衰减率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.