Null controllability of a class of Newtonian filtration equations

doi:10.1016/j.jmaa.2007.12.068

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	Null controllability of a class of Newtonian filtration equations
	Liu, Xu 2
	2008-06-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	342 期号:2 页码:1096-1106
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.
关键词	Newtonian filtration equation exact null controllability approximate null controllability
DOI	10.1016/j.jmaa.2007.12.068
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000254945300027
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6612
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Xu
作者单位	1.NE Normal Univ, Inst Math & Stat, Changchun 130024, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xu. Null controllability of a class of Newtonian filtration equations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2008,342(2):1096-1106.
APA	Liu, Xu.(2008).Null controllability of a class of Newtonian filtration equations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,342(2),1096-1106.
MLA	Liu, Xu."Null controllability of a class of Newtonian filtration equations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 342.2(2008):1096-1106.