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E. Casas; F.Tröltzsch; A. Unger : Second Order Sufficient Optimality Conditions for some State-Constrained Control Problems of Semilinear Eliptic Equations

E. Casas; F.Tröltzsch; A. Unger : Second Order Sufficient Optimality Conditions for some State-Constrained Control Problems of Semilinear Eliptic Equations

Author(s) :
E. Casas; F.Tröltzsch; A. Unger
Title :
Second Order Sufficient Optimality Conditions for some State-Constrained Control Problems of Semilinear Eliptic Equations
Preprint series
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 97-19, 1997
Mathematics Subject Classification :
49K20 [ Optimal control problems with PDE (nec./ suff.) ]
35J25 [ Second order elliptic equations, boundary value problems ]
Abstract :
In this paper we deal width a class of optimal control problems governed by elliptic equations with nonlinear boundary condition. The case of a boundary control is studied. We consider pointwise constraints on the control an certain equality and set-constraints on the state. Second order sufficient conditions for local optimality of controls are derived.
Keywords :
Boundary control, semilinear elliptic wquations, sufficient optimality conditions, state constraints
Language :
english
Publication time :
9/1997
Notes :
supported by European Union under HCM Project number ERBCHRXCT940471 DFG Project number Tr 302/1-2