76 citations · 101 across the 16 of their papers we have counts for
18 papers
Directional differentiability for the solution map of the bilateral parabolic obstacle problem
Simon Blomeyer, Constantin Christof
We prove that the solution map of the classical bilateral parabolic obstacle problem is directionally differentiable when interpreted as a function between suitable Lebesgue and So…
Directional differentiability for solution operators of sweeping processes with convex polyhedral admissible sets
Martin Brokate, Constantin Christof
We study directional differentiability properties of solution operators of rate-independent evolution variational inequalities with full-dimensional convex polyhedral admissible se…
A Globalized Inexact Semismooth Newton Method for Nonsmooth Fixed-point Equations involving Variational Inequalities
Amal Alphonse, Constantin Christof, Michael Hintermüller +1
We develop a semismooth Newton framework for the numerical solution of fixed-point equations that are posed in Banach spaces. The framework is motivated by applications in the fiel…
Optimal Control of Semilinear Elliptic Partial Differential Equations with Non-Lipschitzian Nonlinearities
Constantin Christof
We study optimal control problems that are governed by semilinear elliptic partial differential equations that involve non-Lipschitzian nonlinearities. It is shown that, for a cert…
Energy Space Newton Differentiability for Solution Maps of Unilateral and Bilateral Obstacle Problems
Constantin Christof, Gerd Wachsmuth
We prove that the solution operator of the classical unilateral obstacle problem on a nonempty open bounded set , , is Newton differentiabl…
On the Identification and Optimization of Nonsmooth Superposition Operators in Semilinear Elliptic PDEs
Constantin Christof, Julia Kowalczyk
We study an infinite-dimensional optimization problem that aims to identify the Nemytskii operator in the nonlinear part of a prototypical semilinear elliptic partial differential…