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.
Author: | Eduardo Casas, Fredi Tröltzsch |
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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 |