Controllability for a Wave Equation with Moving Boundary

Lizhi Cui and Libo Song

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: We investigate the controllability for a one‐dimensional wave equation in domains with moving boundary. This model characterizes small vibrations of a stretched elastic string when one of the two endpoints varies. When the speed of the moving endpoint is less than 11-/e, by Hilbert uniqueness method, sidewise energy estimates method, and multiplier method, we get partial Dirichlet boundary controllability. Moreover, we will give a sharper estimate on controllability time that only depends on the speed of the moving endpoint.

Date: 2014
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https://doi.org/10.1155/2014/827698

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:827698

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