Null controllability of a class of Newtonian filtration equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:342

Article

Liu, Xu¹ 

[1] Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China

关键词: Newtonian filtration equation;    exact null controllability;    approximate null controllability;   

DOI  :  10.1016/j.jmaa.2007.12.068

来源: Elsevier

【 摘 要 】

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. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

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