Optimal Control of Variational Inequalities with Delays in the Highest Order Spatial Derivatives
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In this paper, an optimal control problem for parabolic variational inequalities with delays in the highest order spatial derivatives is investigated. The well–posedness of such kinds of variational inequalities is established. The existence of optimal controls under a Cesari–type condition is proved, and the necessary conditions of Pontryagin type for optimal controls is derived.
KeywordsVariational inequalities Time–delay operator Optimal control Maximum principle
MR (2000) Subject Classification49J40 49K25
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