Optimal control and admissible relaxation of uncertain nonlinear elliptic systems
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Papageorgiou, NS
(EN)
In this article we study the optimal control of uncertain systems monitored by nonlinear elliptic equations. First under convexity hypotheses, we show that the min-max problem has a solution. Then we drop the convexity assumptions and we pass to the larger relaxed system. We show that this always has, a solution under very general hypotheses on the data. We also produce conditions that guarantee that the relaxation is admissible; i.e., the relaxed problem is the ''closure'' of the Original one. (C) 1996 Academic Press, Inc.
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