We consider a distributed optimal control problem governed by a semilinear parabolic equation, where constraints on the control and on the state are given. Aiming to show the existence of regular Lagrange multipliers we follow a linearization approach together with a two-norm technique. The theory is applied to derive a generalized bang-bang principle.
Publié le : 1996-07-05
Classification:
Semilinear equations,
Qualification condition,
Optimal control,
49J20, 49K20,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00023061,
author = {Bergounioux, Ma\"\i tine and Tr\"oltzsch, Fredi},
title = {Optimality Conditions and Generalized Bang-Bang Principle for a State Constrained Semilinear Parabolic Problem},
journal = {HAL},
volume = {1996},
number = {0},
year = {1996},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00023061}
}
Bergounioux, Maïtine; Tröltzsch, Fredi. Optimality Conditions and Generalized Bang-Bang Principle for a State Constrained Semilinear Parabolic Problem. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00023061/