@Article{JPDE-37-467, author = {Mellah , MohamedHakem , Ali and Liu , Gongwei}, title = {Global Existence and Stability for a Viscoelastic Wave Equation with Nonlinear Boundary Source Term}, journal = {Journal of Partial Differential Equations}, year = {2024}, volume = {37}, number = {4}, pages = {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.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v37.n4.6}, url = {http://global-sci.org/intro/article_detail/jpde/23691.html} }