Controllability for the wave equation with moving boundary

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dc.contributor.authorDe Jesus, Isaias P.
dc.contributor.authorLapa, Eugenio Cabanillas
dc.contributor.authorLimaco, Juan
dc.date.accessioned2021-08-27T16:47:51Z
dc.date.available2021-08-27T16:47:51Z
dc.date.issued2021-07-05
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDe Jesus, I. P., Lapas, E. C., & Limaco, J. (2021). Controllability for the wave equation with moving boundary. <i>Electronic Journal of Differential Equations, 2021</i>(60), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14470
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectWave equation
dc.subjectStackelberg-Nash strategies
dc.subjectControllability
dc.subjectInverse inequality
dc.titleControllability for the wave equation with moving boundary
dc.typeArticle

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