Regularization error estimates for semilinear elliptic optimal control problems with pointwise state and control constraints
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Date
2010
Authors
Volume
1480
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Link to publishers version
Abstract
In this paper a class of semilinear elliptic optimal control problem with pointwise state and control constraints is studied. A sufficient second order optimality condition and uniqueness of the dual variables are assumed for that problem. Sufficient second order optimality conditions are shown for regularized problems with small regularization parameter. Moreover, error estimates with respect to the regularization parameter are derived
Description
Keywords
Optimal control, semilinear elliptic equation, state constraints, regularization, virtual control, second order sufficient conditions
Citation
Krumbiegel, K., Neitzel, I., & Rösch, A. (2010). Regularization error estimates for semilinear elliptic optimal control
problems with pointwise state and control constraints (Vol. 1480). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.