Title: Controllability of the wave equation via multiplicative controls
Abstract: In this paper, we study the controllability for the multidimensional wave equation. The first part deals with the linear wave equation with unbounded damping. Two multiplicative controls are constructed to conduct the solution of the system to a neighbourhood of the desired equilibrium state. The second part treats the controllability of the semi-linear wave equation. We show the approximate controllability for this problem, and we prove the exact controllability for the one-dimensional case using bilinear controls.
Publication Year: 2016
Publication Date: 2016-10-18
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 7
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