1 citations · 2 across the 4 of their papers we have counts for
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Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-Variational Inequalities
Constantin Christof, Gerd Wachsmuth
This paper is concerned with the sensitivity analysis of a class of parameterized fixed-point problems that arise in the context of obstacle-type quasi-variational inequalities. We…
On the Nonuniqueness and Instability of Solutions of Tracking-Type Optimal Control Problems
Constantin Christof, Dominik Hafemeyer
We study tracking-type optimal control problems that involve a non-affine, weak-to-weak continuous control-to-state mapping, a desired state , and a desired control . It…
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…