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LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS
Guo, Bao-Zhu1,2; Zhang, Liang2,3
2016-03-01
Source PublicationMATHEMATICAL CONTROL AND RELATED FIELDS
ISSN2156-8472
Volume6Issue:1Pages:143-165
AbstractIn 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.
DOI10.3934/mcrf.2016.6.143
Language英语
Funding ProjectProgram 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000369599900006
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22069
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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