Scientific Articles in Journals |
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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) |
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Constantin Christof, Julia Kowalczyk: On the Omnipresence of Spurious Local Minima in Certain Neural Network Training Problems Submitted, Preprint arXiv: 2202.12262, 2022. |
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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. |
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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. |
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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) |
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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) |
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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) |
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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. |
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Constantin Christof, Gerd Wachsmuth: Semismoothness for solution operators of obstacle-type variational inequalities with applications in optimal control Submitted, Preprint arXiv: 2112.12018, 2021. |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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Constantin Christof: L∞-error estimates for the obstacle problem revisited Calcolo, 54(4), pp. 1243-1264, 2017. (doi:10.1007/s10092-017-0228-1) |