Dr. Constantin Christof

Publikationen

Wissenschaftliche Beiträge in Zeitschriften
Constantin Christof, Dominik Hafemeyer:
On the Nonuniqueness and Instability of Solutions of Tracking-Type Optimal Control Problems
American Institute of Mathematical Sciences, Mathematical Control & Related Fields, 12(2): pp. 421-431, 2022. (doi:10.3934/mcrf.2021028)
Constantin Christof, Julia Kowalczyk:
On the Omnipresence of Spurious Local Minima in Certain Neural Network Training Problems
Submitted, Preprint arXiv: 2202.12262, 2022.
Martin Brokate, Constantin Christof:
Strong Stationarity Conditions for Optimal Control Problems Governed by a Rate-Independent Evolution Variational Inequality
Submitted, Preprint arXiv: 2205.01196, 2022.
Constantin Christof, Gerd Wachsmuth:
Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-Variational Inequalities
Submitted, Preprint arXiv: 2105.05895, 2021.
Constantin Christof, Gerd Wachsmuth:
On Second-Order Optimality Conditions for Optimal Control Problems Governed by the Obstacle Problem
Optimization, A Journal of Mathematical Programming and Operations Research, 70 (10), pp. 2247-2287, 2021. (doi:10.1080/02331934.2020.1778686)
Constantin Christof, Georg Müller:
Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation
ESAIM: Control, Optimisation and Calculus of Variations, 27, 2021. (doi:10.1051/cocv/2020060)
Constantin Christof, Boris Vexler:
New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints
ESAIM: Control, Optimisation and Calculus of Variations, 27, 2021. (doi:10.1051/cocv/2020059)
Constantin Christof:
On the Stability Properties and the Optimization Landscape of Training Problems with Squared Loss for Neural Networks and General Nonlinear Conic Approximation Schemes
Journal of Machine Learning Research, 22(263), pp.1-77, (http://jmlr.org/papers/v22/20-1259.html), 2021.
Constantin Christof, Gerd Wachsmuth:
Semismoothness for solution operators of obstacle-type variational inequalities with applications in optimal control
Submitted, Preprint arXiv: 2112.12018, 2021.
Constantin Christof, Gerd Wachsmuth:
Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators
Applied Mathematics & Optimization, 81, pp.23–62, 2020. (doi:10.1007/s00245-018-09553-y)
Constantin Christof, Christian Meyer, Juan Carlos De los Reyes:
A Non-Smooth Trust Region Method for Locally Lipschitz Functions with Application to Optimization Problems Constrained by Variational Inequalities
SIAM Journal on Optimization, 30(3), pp 2163–2196, 2020. (doi:10.1137/18M1164925)
Constantin Christof:
Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Non-Smooth Lower Level
SIAM: Journal on Optimization, 30(1), pp.290-318, 2020. (doi:10.1137/18M1225707)
Constantin Christof, Christof Haubner:
Finite Element Error Estimates in Non-Energy Norms for the Two-Dimensional Scalar Signorini Problem
Numerische Mathematik, 45, pp. 513-551, 2020. (doi:10.1007/s00211-020-01117-z)
Constantin Christof, Christian Meyer:
Differentiability properties of the solution operator to an elliptic variational inequality of the second kind
Set-Valued and Variational Analysis, 27, pp. 469-502, 2019. (doi:10.1007/s11228-018-0495-2)
Constantin Christof:
Sensitivity Analysis and Optimal Control of Obstacle-type Evolution Variational Inequalities
SIAM Journal on Control and Optimization, 57(1), pp. 192-218, 2019. (doi:10.1137/18M1183662)
Constantin Christof, Christian Clason, Christian Meyer, Stephan Walther:
Optimal Control of a Non-Smooth Semilinear Elliptic Equation
Mathematical Control and Related Fields, 8(1), pp. 247-276, 2018. (doi:10.3934/mcrf.2018011)
Constantin Christof, Christian Meyer:
A note on a priori Lp -error estimates for the obstacle problem
Numerische Mathematik, 139(1), pp. 27-45, 2018. (doi:10.1007/s00211-017-0931-5)
Constantin Christof, Georg Müller:
A Note on the Equivalence and the Boundary Behavior of a Class of Sobolev Capacities
GAMM-Mitteilungen, 40(3), pp. 238-266, 2018. (doi:10.1002/gamm.201730005)
Constantin Christof, Gerd Wachsmuth:
On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces
GAMM-Mitteilungen, 40(4), pp. 339-350, 2018. (doi:10.1002/gamm.201740005)
Constantin Christof, Gerd Wachsmuth:
No-Gap Second-Order Conditions via a Directional Curvature Functional
SIAM Journal on Optimization, 28(3), pp. 2097-2130, 2018. (doi:10.1137/17M1140418)
Constantin Christof:
L-error estimates for the obstacle problem revisited
Calcolo, 54(4), pp. 1243-1264, 2017. (doi:10.1007/s10092-017-0228-1)

Wissenschaftliche Beiträge in Sammelbänden
Constantin Christof, Christian Meyer, Ben Schweizer, Stefan Turek:
Strong Stationarity for Optimal Control of Variational Inequalities of the Second Kind Pfeil
In: Hintermüller M., Herzog R., Kanzow C., Ulbrich M., Ulbrich S. (eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics, vol 172, Birkhäuser, Cham, 2022. (doi:10.1007/978-3-030-79393-7_12 Pfeil)

Dissertation und Masterarbeit
Sensitivity Analysis of Elliptic Variational Inequalities of the First and the Second Kind Pfeil
Dissertation, Technische Universität Dortmund, 2018.
A priori Fehlerabschätzungen für die FE-Diskretisierung klassischer Hindernisprobleme Pfeil
Masterarbeit, Technische Universität Dortmund, 2015.
 
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