Existence and exponential stability for the wave equation with nonlinear interior source and localized viscoelastic boundary feedback

被引：0

作者：

Faria, Josiane Cristina de Oliveira ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, Maringa, PR, Brazil

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2024年 / 47期

关键词：

wave equation; localized boundary feedback; exponential stability; ENERGY DECAY-RATES; GENERAL DECAY; LINEAR VISCOELASTICITY; ASYMPTOTIC STABILITY; MEMORY; STABILIZATION;

D O I：

10.14232/ejqtde.2024.1.47

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we aim to investigate an integro-differential model that involves localized viscoelastic effects at the boundary of the domain under the history framework. We have established that the equation is well-posed and exhibits exponential stability when a localized admissible kernel is applied, along with the 5-condition pound.

引用

页码：1 / 18

页数：18

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