On the optimal control of parabolic variational inequalities, the evolution dam problem
Nasser Hassan Sweilam · Numerical Functional Analysis and Optimization · 1997
This paper deals with the optimal control of the evolution dam problem. By controlling the amount of water that may go out of the dam the free boundary in the dam is controlled. Regularizing this problem we prove necessary optimality conditions and we obtain convergence results as the regularization parameter tends to zero