The existence results for obstacle optimal control problems

doi:10.1016/j.amc.2009.04.006

CORC > 上海财经大学 > 上海财经大学

	The existence results for obstacle optimal control problems
	Ye, Yuquan 1; Chan, Chi Kin 2; Lee, H. W. J.2
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2009-08-15
卷号	214 期号:2 页码:451-456
关键词	Obstacle optimal control Existence Variational inequality
ISSN号	0096-3003
DOI	10.1016/j.amc.2009.04.006
英文摘要	This paper is concerned with the existence of an optimal control problem for a quasi-linear elliptic obstacle variational inequality in which the obstacle is taken as the control. Firstly, we get some existence results under the assumption of the leading operator of the variational inequality with a monotone type mapping in Section 2. In Section 3, as an application, without the assumption of the monotone type mapping for the leading operator of the variational inequality, we prove that the leading operator of the variational inequality is a monotone type mapping. Existence of the optimal obstacle is proved. The method used here is different from [Y. Y. Zhou, X. Q. Yang, K. L. Teo, The existence results for optimal control problems governed by a variational inequality, J. Math. Anal. Appl. 321 (2006) 595608]. (C) 2009 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000267585700013
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/2455]
专题	上海财经大学
通讯作者	Ye, Yuquan
作者单位	1.Shanghai Univ Finance & Econ, Dept Appl 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,Lee, H. W. J.. The existence results for obstacle optimal control problems[J]. APPLIED MATHEMATICS AND COMPUTATION,2009,214(2):451-456.
APA	Ye, Yuquan,Chan, Chi Kin,&Lee, H. W. J..(2009).The existence results for obstacle optimal control problems.APPLIED MATHEMATICS AND COMPUTATION,214(2),451-456.
MLA	Ye, Yuquan,et al."The existence results for obstacle optimal control problems".APPLIED MATHEMATICS AND COMPUTATION 214.2(2009):451-456.