15 citations · 38 across the 12 of their papers we have counts for
13 papers
On quantitative sufficient second-order optimality conditions for elliptic optimal control problems
Francisco Fuica, Nicolai Jork
In this paper, a general principle for coercivity in optimal control problems is investigated. Utilizing regularity properties of solutions to second-order elliptic PDEs on Lipschi…
Error estimates for an unregularized optimal control problem for the stationary Navier-Stokes equations
Francisco Fuica, Nicolai Jork
We consider an unregularized optimal control problem subject to the steady-state Navier-Stokes equations. We derive the existence of optimal solutions and prove first- and second-o…
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…
Stability analysis of the Navier-Stokes velocity tracking problem with bang-bang controls
Alberto Domínguez Corella, Nicolai Jork, Šarká Nečasová +1
This paper focuses on the stability of solutions for a velocity-tracking problem associated with the two-dimensional Navier-Stokes equations. The considered optimal control problem…
Finite element error analysis of affine optimal control problems
Nicolai Jork
This paper is concerned with error estimates for the numerical approximation for affine optimal control problems subject to semilinear elliptic PDEs. To investigate the error estim…
Solution stability of parabolic optimal control problems with fixed state-distribution of the controls
Alberto Domínguez Corella, Nicolai Jork, Vladimir M. Veliov
The paper presents results about strong metric subregularity of the optimality mapping associated with the system of first-order necessary optimality conditions for a problem of op…
On the solution stability of parabolic optimal control problems
Alberto Domínguez Corella, Nicolai Jork, Vladimir M. Veliov
The paper investigates stability properties of solutions of optimal control problems for semilinear parabolic partial differential equations. Hölder or Lipschitz dependence of the…
New assumptions for stability analysis in elliptic optimal control problems
Eduardo Casas, Alberto Domínguez Corella, Nicolai Jork
This paper is dedicated to the stability analysis of the optimal solutions of a control problem associated with a semilinear elliptic equation. The linear differential operator of…
Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations
Alberto Domínguez Corella, Nicolai Jork, Vladimir Veliov
This paper investigates stability properties of affine optimal control problems constrained by semilinear elliptic partial differential equations. This is done by studying the so c…