An optimal control problem governed by a quasilinear parabolic equation with additional constraints is investigated. The optimal control problem is converted to an optimization problem which is solved using a penalty function technique. The existence and uniqueness theorems are investigated. The derivation of formulae for the gradient of the modified function is explainedby solving the adjoint problem.
@article{bwmeta1.element.bwnjournal-article-zmv27i2p239bwm,
author = {S. Farag and M. Farag},
title = {On an optimal control problem for a quasilinear parabolic equation},
journal = {Applicationes Mathematicae},
volume = {27},
year = {2000},
pages = {239-250},
zbl = {0996.49001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv27i2p239bwm}
}
Farag, S.; Farag, M. On an optimal control problem for a quasilinear parabolic equation. Applicationes Mathematicae, Tome 27 (2000) pp. 239-250. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv27i2p239bwm/
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