Second order sufficient optimality conditions for a class of elliptic control problems

Eduardo Casas, Fredi Tröltzsch, A. Unger · ESAIM Proceedings · 1998

In this paper we deal with 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 and certain equality and inequality constraints on the state. Second order sufficient conditions for local optimality of controls are derived.

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