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Preprint 39-2004

On an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints

Source file is available as :   Postscript Document
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Author(s) : Christian Meyer , Fredi Tröltzsch

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 39-2004

MSC 2000

49K20 Problems involving partial differential equations
49M15 Methods of Newton-Raphson, Galerkin and Ritz types

Abstract :
A nonlinear elliptic control problem with pointwise control-state constraints is considered. Existence of regular Lagrange multipliers, first-order necessary and and second-order sufficient optimality conditions are derived. The theory is verified by numerical examples.

Keywords : Semilinear elliptic equation, pointwise state-constraints, necessary conditions, sufficient conditions, SQP method

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