Stabilization of wave equations with variable coefficients and internal memory
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Date
2018-09-05
Authors
Ning, Zhen-Hu
Yang, Fengyan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Stabilization, Wave equation with variable coefficients, Memory term, Time-varying delay, Geometric conditions
Citation
Ning, 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.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.