LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS

doi:10.3934/mcrf.2016.6.143

CSpace > 系统科学研究所

	LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS
	Guo, Bao-Zhu1,2 ; Zhang, Liang 2,3
	2016-03-01
发表期刊	MATHEMATICAL CONTROL AND RELATED FIELDS
ISSN	2156-8472
卷号	6 期号:1 页码:143-165
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.
DOI	10.3934/mcrf.2016.6.143
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000369599900006
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22069
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.