Indirect Obstacle Minimax Control for Elliptic Variational Inequalities

Q. Chen

Journal of Optimization Theory and Applications, 2001, vol. 110, issue 2, No 6, 337-359

Abstract: Abstract A minimax control problem for a coupled system of a semilinear elliptic equation and an obstacle variational inequality is considered. The major novelty of such problem lies in the simultaneous presence of a nonsmooth state equation (variational inequality) and a nonsmooth cost function (sup norm). In this paper, the existence of optimal controls and the optimality conditions are established.

Keywords: Minimax control; elliptic obstacle variational inequality; existence of optimal controls; optimality conditions (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017579313671

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