Stabilization of wave equations with variable coefficients and internal memory
| dc.contributor.author | Ning, Zhen-Hu | |
| dc.contributor.author | Yang, Fengyan | |
| dc.date.accessioned | 2022-03-07T18:32:42Z | |
| dc.date.available | 2022-03-07T18:32:42Z | |
| dc.date.issued | 2018-09-05 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15454 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Stabilization | |
| dc.subject | Wave equation with variable coefficients | |
| dc.subject | Memory term | |
| dc.subject | Time-varying delay | |
| dc.subject | Geometric conditions | |
| dc.title | Stabilization of wave equations with variable coefficients and internal memory | |
| dc.type | Article |