Title data
Schiela, Anton:
Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States.
KonradZuseZentrum für Informationstechnik Berlin
Berlin
,
2007
.
 (ZIBReport
; 0735
)
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Project information
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Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
We discuss first order optimality conditions for state constrained optimal control problems. Our concern is the treatment of problems, where the solution of the state equation is not known to be continuous, as in the case of boundary control in three space dimensions or optimal control with parabolic partial differential equations. We show existence of measure valued Lagrangian multipliers, which have just enough additional regularity to be applicable to all possibly discontinuous solutions of the state equation.