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math.AP2024
Subdifferentials and penalty approximations of the obstacle problem
Amal Alphonse, Gerd Wachsmuth
We consider a framework for approximating the obstacle problem through a penalty approach by nonlinear PDEs. By using tools from capacity theory, we show that derivatives of the so…
math.OC2024★ 1 cited
Vector-Valued Integer Optimal Control with TV Regularization: Optimality Conditions and Algorithmic Treatment
Jonas Marko, Gerd Wachsmuth
We investigate a broad class of integer optimal control problems with vector-valued controls and switching regularization using a total variation functional involving the p-norm, w…