Minimax control of nonlinear evolution equations.
Papageorgiou, Nikolaos S. (1995)
Commentationes Mathematicae Universitatis Carolinae
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Minimax control of nonlinear evolution equations.
Evolution inclusions of the subdifferential type depending on a parameter
Dimitrios A. Kandilakis, Nikolaos S. Papageorgiou (1992)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we study evolution inclusions generated by time dependent convex subdifferentials, with the orientor field depending on a parameter. Under reasonable hypotheses on the data, we show that the solution set is both Vietoris and Hausdorff metric continuous in . Using these results, we study the variational stability of a class of nonlinear parabolic optimal control problems.
Evolution inclusions of the subdifferential type depending on a parameter.
Kandilakis, Dimitrios, Papageorgiou, Nikolaos S. (1992)
Commentationes Mathematicae Universitatis Carolinae
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An existence theorem for a class of nonlinear elliptic optimal control problems
Nikolaos S. Papageorgiou (1991)
Commentationes Mathematicae Universitatis Carolinae
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We establish the existence of an optimal ``state-control'' pair for an optimal control problem of Lagrange type, monitored by a nonlinear elliptic partial equation involving nonmonotone nonlinearities.