Some results on controllability of a nonlinear degenerate parabolic system by bilinear control |
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| Authors: | Ping Lin Hang Gao Xu Liu |
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| Institution: | School of Mathematics & Statistics, Northeast Normal University, Changchun 130024, People's Republic of China |
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| Abstract: | In this paper, we discuss the controllability of a nonlinear degenerate parabolic system with bilinear control. Based on the shrinking property of the solutions, we prove that the system is not globally approximately controllable. Furthermore, we give an approximate null controllability result. We also prove that the system is not globally exactly null controllable by a comparison principle. |
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| Keywords: | Degenerate parabolic system Bilinear control Non-controllability Approximate controllability Exact null controllability |
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