LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS

doi:10.3934/mcrf.2016.6.143

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	LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS
	Guo, Bao-Zhu1,2 ; Zhang, Liang 2,3
刊名	MATHEMATICAL CONTROL AND RELATED FIELDS
	2016-03-01
卷号	6 期号:1 页码:143-165
ISSN号	2156-8472
DOI	10.3934/mcrf.2016.6.143
英文摘要	In this paper, we study controllability for a parabolic system of chemotaxis. With one control only, the local exact controllability to positive trajectory of the system is obtained by applying Kakutani's fixed point theorem and the null controllability of associate dlinearized parabolic system. The positivity of the state is shown to be remained in the state space. The control function is shown to be in L infinity (Q), which is estimated by using the methods of maximal regularity and L-p-L-q estimate for parabolic equations.
资助项目	Program for Innovative Research Teamin UIBE ; National Natural Science Foundation of China ; National Research Foundation of South Africa ; National Science Foundation of China[11201358] ; Natural Science Foundation of Hubei Province[2014CFB337] ; Fundamental Research Funds for the Central Universities[WUT:2014-ia-011]
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000369599900006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22068]
专题	系统科学研究所
通讯作者	Zhang, Liang
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa 3.Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Zhang, Liang. LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS[J]. MATHEMATICAL CONTROL AND RELATED FIELDS,2016,6(1):143-165.
APA	Guo, Bao-Zhu,&Zhang, Liang.(2016).LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS.MATHEMATICAL CONTROL AND RELATED FIELDS,6(1),143-165.
MLA	Guo, Bao-Zhu,et al."LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS".MATHEMATICAL CONTROL AND RELATED FIELDS 6.1(2016):143-165.