Year: 2024
Author: Mohamed Mellah, Ali Hakem, Gongwei Liu
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 4 : pp. 467–481
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v37.n4.6
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 4 : pp. 467–481
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Viscoelastic equation nonlinear boundary source stabilization.