Effect of Kelvin-Voigt damping on spectrum analysis of a wave equation
| dc.contributor.author | Lu, Liqing | |
| dc.contributor.author | Zhao, Liyan | |
| dc.contributor.author | Hu, Jing | |
| dc.date.accessioned | 2022-03-10T17:04:42Z | |
| dc.date.available | 2022-03-10T17:04:42Z | |
| dc.date.issued | 2018-11-19 | |
| dc.description.abstract | This article concerns a one-dimensional wave equation with a small amount of Kelvin-Voigt damping. We give a detailed spectrum analysis of the system operator, from which we show that the generalized eigenfunction forms a Riesz basis for the state Hilbert space. That is, the precise and explicit expression of the eigenvalues is deduced and the spectrum-determined growth condition is established. Hence the exponential stability of the system is obtained. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Lu, L., Zhao, L., & Hu, J. (2018). Effect of Kelvin-Voigt damping on spectrum analysis of a wave equation. <i>Electronic Journal of Differential Equations, 2018</i>(186), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15482 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| 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 | Wave equation | |
| dc.subject | Riesz basis | |
| dc.subject | Spectrum-determined growth condition | |
| dc.subject | Kelvin-Voigt damping | |
| dc.title | Effect of Kelvin-Voigt damping on spectrum analysis of a wave equation | |
| dc.type | Article |