22 citations · 32 across the 17 of their papers we have counts for
4 papers · 1 filter
Variable step mollifiers and applications
Michael Hintermüller, Kostas Papafitsoros, Carlos N. Rautenberg
We consider a mollifying operator with variable step that, in contrast to the standard mollification, is able to preserve the boundary values of functions. We prove boundedness of…
On existence and uniqueness of solutions to a Boussinesq system with nonlinear and mixed boundary conditions
Rafael Arndt, Andrea N. Ceretani, Carlos N. Rautenberg
We study a Boussinesq system in a bounded domain with an outlet boundary portion where fluid can leave or re-enter. On this boundary part, we consider a do-nothing condition for th…
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…
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…