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Main Title: Optimal control of PDEs with regularized pointwise state constraints
Author(s): Meyer, Christian
Rösch, Arnd
Tröltzsch, Fredi
Type: Research Paper
Abstract: This paper addresses the regularization of pointwise state constraints in optimal control problems. By analyzing the associated dual problem, it is shown that the regularized problems admit Lagrange multipliers in L^2-spaces. Under a certain boundedness assumption, the solution of the regularized problem converges to the one of the original state constrained problem. The results of our analysis are confirmed by numerical tests.
Subject(s): quadratic programming
regular Lagrange
optimal control
elliptic and parabolic equations
pointwise state constraints
bottleneck constraints
Issue Date: 25-Jun-2003
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49K20 Problems involving partial differential equations
49N10 Linear-quadratic problems
90C46 Optimality conditions, duality
49M20 Methods of relaxation type
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 14
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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