20 citations · 52 across the 33 of their papers we have counts for
5 papers · 1 filter
Slater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints
Gerd Wachsmuth
We consider optimization problems in Lebesgue spaces with pointwise box constraints and finitely many additional linear constraints. We prove that the existence of a Slater point w…
Non-existence of perturbed solutions under a second-order sufficient condition
Gerd Wachsmuth
We present an optimization problem in infinite dimensions which satisfies the usual second-order sufficient condition but for which perturbed problems fail to possess solutions.
Integer optimal control problems with total variation regularization: Optimality conditions and fast solution of subproblems
Jonas Marko, Gerd Wachsmuth
We investigate local optimality conditions of first and second order for integer optimal control problems with total variation regularization via a finite-dimensional switching poi…
A simple proof of the Baillon-Haddad theorem on open subsets of Hilbert spaces
Daniel Wachsmuth, Gerd Wachsmuth
We give a simple proof of the Baillon-Haddad theorem for convex functions defined on open and convex subsets of Hilbert spaces. We also state some generalizations and limitations.…
Finding global solutions of some inverse optimal control problems using penalization and semismooth Newton methods
Markus Friedemann, Felix Harder, Gerd Wachsmuth
We present a method to solve a special class of parameter identification problems for an elliptic optimal control problem to global optimality. The bilevel problem is reformulated…