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Approximate Controllability for Degenerate Heat Equation with Bilinear Control |
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| Authors: | Li Lingfei Gao Hang |
| Affiliation: | 1.School of Science, Northeast Electric Power University, Jilin, 132012, China ;2.School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China ; |
| Abstract: | This paper investigates the nonnegative approximate controllability for the one-dimensional degenerate heat equation governed by bilinear control. Both non-controllability and approximate controllability are studied for the system. If the control is restricted to act on a fixed domain, it is not controllable. If the control is allowed to mobile, it is approximately controllable. |
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