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Regular Lagrange multipliers for control problems with mixed pointwise control-state constraints

Please always quote using this URN:urn:nbn:de:0296-matheon-722
  • A class of quadratic optimization problems in Hilbert spaces is considered, where pointwise box constraints and constraints of bottleneck type are given. The main focus is to prove the existence of regular Lagrange multipliers in L2-spaces. This question is solved by investigating the solvability of a Lagrange dual quadratic problem. The theory is applied to different optimal control problems for elliptic and parabolic partial differential equations with mixed pointwise control-state constraints.

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Metadaten
Author:Fredi Tröltzsch
URN:urn:nbn:de:0296-matheon-722
Referee:Jürgen Sprekels
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/03/02
Release Date:2004/01/29
Preprint Number:62
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