A bilinear optimal control problem applied to a time dependent Hartree-Fock equation coupled with classical nuclear dynamics.
Baudouin, Lucie (2006)
Portugaliae Mathematica. Nova Série
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Baudouin, Lucie (2006)
Portugaliae Mathematica. Nova Série
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Eduardo Casas (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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The goal of this paper is to prove the first and second order optimality conditions for some control problems governed by semilinear elliptic equations with pointwise control constraints and finitely many equality and inequality pointwise state constraints. To carry out the analysis we formulate a regularity assumption which is equivalent to the first order optimality conditions. Though the presence of pointwise state constraints leads to a discontinuous adjoint state, we prove that...
Fredi Tröltzsch, Stefan Volkwein (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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A Lagrange–Newton–SQP method is analyzed for the optimal control of the Burgers equation. Distributed controls are given, which are restricted by pointwise lower and upper bounds. The convergence of the method is proved in appropriate Banach spaces. This proof is based on a weak second-order sufficient optimality condition and the theory of Newton methods for generalized equations in Banach spaces. For the numerical realization a primal-dual active set strategy is applied. Numerical...
Igor Bock, Ján Lovíšek (1989)
Commentationes Mathematicae Universitatis Carolinae
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Phuong Anh Nguyen, Jean-Pierre Raymond (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider optimal control problems for convection-diffusion equations with a pointwise control or a control localized on a smooth manifold. We prove optimality conditions for the control variable and for the position of the control. We do not suppose that the coefficient of the convection term is regular or bounded, we only suppose that it has the regularity of strong solutions of the Navier–Stokes equations. We consider functionals with an observation on the gradient of the state....
Igor Bock, Ján Lovíšek (2001)
Mathematica Bohemica
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An optimization problem for the unilateral contact between a pseudoplate and a rigid obstacle is considered. The variable thickness of the pseudoplate plays the role of a control variable. The cost functional is a regular functional only in the smooth case. The existence of an optimal thickness is verified. The penalized optimal control problem is considered in the general case.