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

作　　者：MELLAH Mohamed HAKEM Ali LIU Gongwei 

机构地区：[1]Laboratory ACEDP,Djllali Liabes University,22000 Sidi Bel Abbes,Algeria [2]Cllege of Science,Henan University of Technology,Zhengzhou 450001,China

出　　处：《Journal of Partial Differential Equations》2024年第4期467-481,共15页偏微分方程(英文版)

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.

关 键 词：Viscoelastic equation nonlinear boundary source STABILIZATION 

分 类 号：O175.27[理学—数学]