Global Existence and Stability for a Viscoelastic Wave Equation with Nonlinear Boundary Source Term

被引：0
作者：
Mohamed, Mellah [1 ]
Ali, Hakem [1 ]
Gongwei, Liu [2 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab ACEDP, Sidi Bel Abbes 22000, Algeria
[2] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 37卷 / 04期
关键词：
Viscoelastic equation; nonlinear boundary source; stabilization; GENERAL DECAY; BLOW-UP; NONEXISTENCE; ENERGY;
D O I：
10.4208/jpde.v37.n4.6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work considers the initial boundary value problem for a viscoelastic wave equation with a nonlinear boundary source term. Under suitable assumptions, we prove the existence of global weak solutions using the Galerkin approximation. Then, we give a decay rate estimate of the energy by making use of the perturbed energy method.
引用
收藏
页码：467 / 481
页数：15
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