activity
20172026
most citedOptimal control of a non-smooth semilinear elliptic equation

76 citations · 101 across the 16 of their papers we have counts for

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Showing 2017Show all

5 papers · 1 filter

math.OC2017

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.…

math.OC2017★ 1 cited

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…

math.OC2017★ 1 cited

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…

math.OC2017★ 20 cited

No-Gap Second-Order Conditions via a Directional Curvature Functional

Constantin Christof, Gerd Wachsmuth

This paper is concerned with necessary and sufficient second-order conditions for finite-dimensional and infinite-dimensional constrained optimization problems. Using a suitably de…

math.OC2017★ 76 cited

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…