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

Electronic source:

application/pdf

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