Bilateral obstacle control problem of parabolic variational inequalities

Chen QH; Chu DL; Tan RCE

SIAM Journal on Control and Optimization, Vol.46, No.4, 1518-1537, 2007

In this paper, the optimality system as well as the existence theorem for an obstacle optimal control problem are established, in which the governing system is a parabolic bilateral variational inequality and the input control is the pair of upper and lower obstacles.

Keywords:bilateral obstacle control problem;parabolic variational inequality;optimality system;monotonicity inequality