Bilateral obstacle optimal control for a quasilinear elliptic variational inequality with a source term

doi:10.1016/j.na.2005.12.037

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	Bilateral obstacle optimal control for a quasilinear elliptic variational inequality with a source term
	Ye, Yuquan ; Chan, Chi Kin ; Leung, B. P. K.; Chen, Q.
刊名	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
	2007-03
卷号	66 期号:5 页码:1170-1184
关键词	bilateral obstacle control quasilinear elliptic variational inequality existence necessary condition
ISSN号	0362-546X
DOI	10.1016/j.na.2005.12.037
英文摘要	In this paper we consider an obstacle control problem where the state satisfies a quasilinear elliptic variational inequality with a source term and the control functions are the upper and the lower obstacles. We assume that the obstacles phi and psi are in W-2,W-2(Omega), but this causes difficulty for deriving the optimality condition. By applying the weak convergence method, we establish existence and incomplete necessary conditions for the optimal control. (c) 2006 Elsevier Ltd. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000243829800013
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/2603]
专题	上海财经大学
通讯作者	Ye, Yuquan
作者单位	1.Shanghai Univ Finance & Econ, Dept Math, Shanghai 200433, Peoples R China; 2.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Ye, Yuquan,Chan, Chi Kin,Leung, B. P. K.,et al. Bilateral obstacle optimal control for a quasilinear elliptic variational inequality with a source term[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2007,66(5):1170-1184.
APA	Ye, Yuquan,Chan, Chi Kin,Leung, B. P. K.,&Chen, Q..(2007).Bilateral obstacle optimal control for a quasilinear elliptic variational inequality with a source term.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,66(5),1170-1184.
MLA	Ye, Yuquan,et al."Bilateral obstacle optimal control for a quasilinear elliptic variational inequality with a source term".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 66.5(2007):1170-1184.