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math.OC2020
On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem
Anne-Therese Rauls, Stefan Ulbrich
We consider optimal control problems for a wide class of bilateral obstacle problems where the control appears in a possibly nonlinear source term. The non-differentiability of the…
math.OC2018
Generalized derivatives for the solution operator of the obstacle problem
Anne-Therese Rauls, Gerd Wachsmuth
We characterize generalized derivatives of the solution operator of the obstacle problem. This precise characterization requires the usage of the theory of so-called capacitary mea…