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 , 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.
Citation
Lizhi Cui. Libo Song. "Controllability for a Wave Equation with Moving Boundary." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/827698
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