1 citations · 1 across the 2 of their papers we have counts for
4 papers
Characterization of Hilbertizable spaces via convex functions
Nicolas Borchard, Gerd Wachsmuth
We show that the existence of a strongly convex function with a Lipschitz derivative on a Banach space already implies that the space is isomorphic to a Hilbert space. Similarly, i…
Numerical solution of optimal control problems using quadratic transport regularization
Nicolas Borchard, Gerd Wachsmuth
We address optimal control problems on the space of measures for an objective containing a smooth functional and an optimal transport regularization. That is, the quadratic Monge-K…
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…
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…