Geodesic
On an optimal control problem for a quasilinear parabolic equation
Applicationes Mathematicae, Tome 27 (2000) no. 2, pp. 239-250.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am-27-2-239-250
Keywords: existence theory, parabolic equations, penalty function methods, optimal control

S. Farag 1 ; M. Farag 1

1 
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S. Farag; M. Farag. On an optimal control problem for a quasilinear parabolic equation. Applicationes Mathematicae, Tome 27 (2000) no. 2, pp. 239-250. doi : 10.4064/am-27-2-239-250. http://geodesic.mathdoc.fr/articles/10.4064/am-27-2-239-250/

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