4 citations · 5 across the 9 of their papers we have counts for
9 papers · 1 filter
On quantitative sufficient second-order optimality conditions for elliptic optimal control problems
Francisco Fuica, Nicolai Jork
In this paper, a quantitative condition for optimality for distributed optimal control problems with box-constraints that are subject to a semilinear elliptic equation is considere…
Second-Order Conditions for Infinite-Horizon Semilinear Parabolic Control Problems without Tikhonov Regularization
Eduardo Casas, Nicolai Jork
We consider semilinear parabolic optimal control problems subject to Neumann boundary conditions, control constraints, and an infinite time horizon. The control constraints are poi…
Adaptive finite element method for an unregularized semilinear optimal control problem
Francisco Fuica, Nicolai Jork
We devise an a posteriori error estimator for an affine optimal control problem subject to a semilinear elliptic PDE and control constraints. To approximate the problem, we conside…
Differentiability of the value function in control-constrained parabolic problems
Alberto Domínguez Corella, Nicolai Jork, Stefan Volkwein
Along the optimal trajectory of an optimal control problem constrained by a semilinear parabolic partial differential equation, we prove the differentiability of the value function…
Strong metric (sub)regularity in optimal control
Nicolai A. Jork, Nikolai P. Osmolovskii, Vladimir M. Veliov
This is mainly a survey on the properties of Strong Metric Regularity (SMR) and Strong Metric subRegularity (SMsR) of mappings representing first order optimality conditions (so-ca…
Analysis of Unregularized Optimal Control Problems Constrained by the Boussinesq System
Nicolai Jork, John Sebastian H. Simon
This paper investigates solution stability properties of unregularized tracking-type optimal control problems constrained by the Boussinesq system. In our model, the controls may a…