Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/29655
Title: The existence results for obstacle optimal control problems
Authors: Ye, Y
Chan, CK 
Lee, HWJ 
Issue Date: 2009
Source: Applied mathematics and computation, 2009, v. 214, no. 2, p. 451-456
Abstract: 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) 595-608].
Keywords: Existence
Obstacle optimal control
Variational inequality
Publisher: Elsevier
Journal: Applied mathematics and computation 
ISSN: 0096-3003
EISSN: 1873-5649
DOI: 10.1016/j.amc.2009.04.006
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