3 papers
math.OC2019
Existence, iteration procedures and directional differentiability for parabolic QVIs
Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg
We study parabolic quasi-variational inequalities (QVIs) of obstacle type. Under appropriate assumptions on the obstacle mapping, we prove the existence of solutions of such QVIs b…
math.OC2019
Stability of the solution set of quasi-variational inequalities and optimal control
Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg
For a class of quasi-variational inequalities (QVIs) of obstacle-type the stability of its solution set and associated optimal control problems are considered. These optimal contro…
math.OC2018
Directional differentiability for elliptic quasi-variational inequalities of obstacle type
Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg
The directional differentiability of the solution map of obstacle type quasi-variational inequalities (QVIs) with respect to perturbations on the forcing term is studied. The class…