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Existence of regular Lagrange multipliers for nonlinear elliptic optimal control problem with pointwise control-state constraints

Please always quote using this URN:urn:nbn:de:0296-matheon-2266
  • A class of optimal control problems for a semilinear elliptic equations with mixed control-state constraints is considered. The existence of bounded and measurable Lagrange multipliers is proven. As a particular application, the Lavrentiev type regularization of pointwise state constraints is discussed. Here, the existence of associated regular multipliers is shown, too.

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Metadaten
Author:Fredi Tröltzsch
URN:urn:nbn:de:0296-matheon-2266
Referee:Jürgen Sprekels
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2005/12/05
Release Date:2005/02/16
Preprint Number:244
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