On an optimal control problem for a quasilinear parabolic equation
S. Farag, M. Farag (2000)
Applicationes Mathematicae
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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.