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math.OC2023
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…
math.OC2023
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…