H-solvability of the optimal control problem for a degenerate elliptic variational inequality
DOI:
https://doi.org/10.15407/dopovidi2015.08.021Keywords:
degenerate weight function of potential type, elliptic variational inequality, H-admissible solution, H-optimal solution, optimal control problemAbstract
We consider the optimal control problem for a degenerate elliptic variational inequality with weight function of potential type, which is in a differential operator. We prove the solvability of the optimal control problem in the class of the so-called H-admissible solutions. We justify the property of closureness for the set of H-admissible pairs in the product of topologies of the control space and the space of states.
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