Hao, JianghaoLv, Mengxian2021-10-042021-10-042020-09-17Hao, J., & Lv, M. (2020). Energy decay for variable coefficient viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary. <i>Electronic Journal of Differential Equations, 2020</i>(95), pp. 1-13.1072-6691https://hdl.handle.net/10877/14602In this article, we study a variable coefficients viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary. By constructing suitable Lyapunov functionals and using the energy compensation method, we prove that under suitable conditions on the initial data and the relaxation function, the energy of the system has an explicit and general decay rate.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalVariable coefficientsViscoelastic wave equationAcoustic boundary conditionsNonlocally reacting boundaryEnergy decay for variable coefficient viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundaryArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.