Please use this identifier to cite or link to this item: https://doi.org/10.1137/S0363012904443075
Title: Optimal control of obstacle for quasi-linear elliptic variational bilateral problems
Authors: Chen, Q.
Chu, D. 
Tan, R.C.E. 
Keywords: Bilateral variational inequality
Obstacle optimal control
Optimality system
Quasi-linear elliptic equations
Issue Date: 2006
Citation: Chen, Q., Chu, D., Tan, R.C.E. (2006). Optimal control of obstacle for quasi-linear elliptic variational bilateral problems. SIAM Journal on Control and Optimization 44 (3) : 1067-1080. ScholarBank@NUS Repository. https://doi.org/10.1137/S0363012904443075
Abstract: This paper is concerned with an optimal control problem for quasi-linear elliptic variational inequality in which the bilateral obstacles are the control. The cost functional of this optimal control problem is of Lagrange type in which the pth power of Laplacian of the control appears. This feature leads to the fact that it is hard to derive the optimality system for the underlying problem. In this paper, the optimality system is established by utilizing the special structure of the approximate optimality system including the monotonicity of the leading differential operator. © 2005 Society for Industrial and Applied Mathematics.
Source Title: SIAM Journal on Control and Optimization
URI: http://scholarbank.nus.edu.sg/handle/10635/103867
ISSN: 03630129
DOI: 10.1137/S0363012904443075
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