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Null controllability of a pseudo-parabolic equation with moving control |
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| Authors: | Qiang Tao Hang Gao Zheng-an Yao |
| Institution: | 1. College of Mathematics and Computational Science, Shenzhen University, Shenzhen, 518060, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China;3. School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, 510275, China |
| Abstract: | In this paper, we study the internal controllability of the pseudo-parabolic equation on the one-dimensional torus. Our control function is acting on a moving small interval with a constant velocity. With this moving distributed control, we obtain the system is null controllable for given data with certain regularity. |
| Keywords: | Pseudo-parabolic equation Null controllability Moving control Moment problem |
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