1 citations · 2 across the 4 of their papers we have counts for
5 papers
On Second-Order Optimality Conditions for Optimal Control Problems Governed by the Obstacle Problem
Constantin Christof, Gerd Wachsmuth
This paper is concerned with second-order optimality conditions for Tikhonov regularized optimal control problems governed by the obstacle problem. Using a simple observation that…
Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators
Constantin Christof, Gerd Wachsmuth
This paper is concerned with the differential sensitivity analysis of variational inequalities in Banach spaces whose solution operators satisfy a generalized Lipschitz condition.…
On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces
Constantin Christof, Gerd Wachsmuth
We demonstrate that the set of all measurable functions over a Borel measure space with values in the unit interval is typically non-poly…
A non-smooth trust-region method for locally Lipschitz functions with application to optimization problems constrained by variational inequalities
Constantin Christof, Juan Carlos De Los Reyes, Christian Meyer
We propose a nonsmooth trust-region method for solving optimization problems with locally Lipschitz continuous functions, with application to problems constrained by variational in…
Optimal control of a non-smooth semilinear elliptic equation
Constantin Christof, Christian Clason, Christian Meyer +1
This paper is concerned with an optimal control problem governed by a non-smooth semilinear elliptic equation. We show that the control-to-state mapping is directionally differenti…