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

页码：467 / 481

页数：15

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