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Optimal Control of PDEs with Regularized Pointwise State Constraints

Please always quote using this URN:urn:nbn:de:0296-matheon-735
  • 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 L2-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.

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Metadaten
Author:Christian Meyer, Arnd Rösch, Fredi Tröltzsch
URN:urn:nbn:de:0296-matheon-735
Referee:Jürgen Sprekels
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/03/02
Release Date:2004/02/02
Preprint Number:63
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