Controllability for the wave equation with moving boundary
dc.contributor.author | De Jesus, Isaias P. | |
dc.contributor.author | Lapa, Eugenio Cabanillas | |
dc.contributor.author | Limaco, Juan | |
dc.date.accessioned | 2021-08-27T16:47:51Z | |
dc.date.available | 2021-08-27T16:47:51Z | |
dc.date.issued | 2021-07-05 | |
dc.description.abstract | In this article, we study the boundary controllability for a one-dimensional string equation on a domain with time-dependent boundary. This equation models small vibrations of a string with one of its endpoint fixed and other moving with speed k(t). We use an inverse inequality to obtain a controllability result. We consider a linear wave equation. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 12 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | De Jesus, I. P., Lapas, E. C., & Limaco, J. (2021). Controllability for the wave equation with moving boundary. Electronic Journal of Differential Equations, 2021(60), pp. 1-12. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14470 | |
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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Wave equation | |
dc.subject | Stackelberg-Nash strategies | |
dc.subject | Controllability | |
dc.subject | Inverse inequality | |
dc.title | Controllability for the wave equation with moving boundary | |
dc.type | Article |