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Optimal control of a variational inequality with possibly nonsymmetric linear operator. Application to the obstacle problems in mathematical physics. (English) Zbl 0821.49010
In this paper the author concerns with an optimal control problem for variational inequalities, where the linear, not necessarily symmetric operators as well as the convex sets of possible states depend on the control parameter. The author proves the existence of an optimal control problem on the abstract level. He presents an abstract framework for the theoretical study of obstacle problems in mathematical physics in the variational inequality context. Moreover, some sufficient conditions for the existence of an optimal control are given.

49J40 Variational inequalities
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