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Optimality conditions for a class of optimal control problems with quasilinear elliptic equations

Please always quote using this URN:urn:nbn:de:0296-matheon-4828
  • A class of optimal control problems for quasilinear elliptic equations is considered, where the coefficients of the elliptic differential operator depend on the state function. First- and second-order optimality conditions are discussed for an associated control-constrained optimal control problem. In particular, the Pontryagin maximum principle and second-order sufficient optimality conditions are derived. One of the main difficulties is the non-monotone character of the state equation.

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Metadaten
Author:Eduardo Casas, Fredi Tröltzsch
URN:urn:nbn:de:0296-matheon-4828
Referee:Jürgen Sprekels
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/12/03
Release Date:2008/11/03
Preprint Number:474
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