Ning, Zhen-HuYang, Fengyan2022-03-072022-03-072018-09-05Ning, Z. H., & Yang, F. (2018). Stabilization of wave equations with variable coefficients and internal memory. <i>Electronic Journal of Differential Equations, 2018</i>(160), pp. 1-19.1072-6691https://hdl.handle.net/10877/15454In this article, we consider the stabilization of a wave equation with variable coefficients and internal memory in an open bounded domain, by the Riemannian geometry approach. For the wave equation with a locally distributed memory with a kernel, we obtain exponential decay of the energy under some geometric conditions. In addition, for the wave equation with nonlinear internal time-varying delay without upper bound, we obtain uniform decay of the energy.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalStabilizationWave equation with variable coefficientsMemory termTime-varying delayGeometric conditionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.