Null controllability of a class of Newtonian filtration equations |
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| Authors: | Xu Liu |
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| Affiliation: | a Institute of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
b Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, China |
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| Abstract: | In this paper, we study the null controllability of a class of Newtonian filtration equations. Using the properties of finite extinction time and finite speed of propagation, we construct a control function in feedback form, such that system is exactly null controllable at any time T>0. If we put a nonnegative constraint on the control function, this system is not exactly null controllable any more, but approximately null controllable for a long time. |
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| Keywords: | Newtonian filtration equation Exact null controllability Approximate null controllability |
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