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Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints

Please always quote using this URN:urn:nbn:de:0296-matheon-4808
  • Second-order sufficient optimality conditions are established for the optimal control of semilinear elliptic and parabolic equations with pointwise constraints on the control and the state. In contrast to former publications on this subject, the cone of critical directions is the smallest possible in the sense that the second-order sufficient conditions are the closest to the associated necessary ones. The theory is developed for elliptic distributed controls in domains up to dimension three. Moreover, problems of elliptic boundary control and parabolic distributed control are discussed in spatial domains of dimension two and one, respectively.

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Metadaten
Author:Eduardo Casas, Juan Carlos de Los Reyes, Fredi Tröltzsch
URN:urn:nbn:de:0296-matheon-4808
Referee:Jürgen Sprekels
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/11/03
Release Date:2008/10/03
Preprint Number:473
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