34 citations · 74 across the 7 of their papers we have counts for
5 papers · 1 filter
Dirichlet control problems with energy regularization governed by non-coercive elliptic equations
Thomas Apel, Mariano Mateos, Arnd Rösch
The present study investigates a linear-quadratic Dirichlet control problem governed by a non-coercive elliptic equation posed on a possibly non-convex polygonal domain. Tikhonov r…
Non-coercive Neumann boundary control problems
Thomas Apel, Mariano Mateos, Arnd Rösch
The article examines a linear-quadratic Neumann control problem that is governed by a non-coercive elliptic equation. Due to the non-self-adjoint nature of the linear control-to-st…
New second order sufficient optimality conditions for state constrained parabolic control problems
Eduardo Casas, Mariano Mateos, Arnd Rösch
We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain sec…
Analysis of control problems of nonmontone semilinear elliptic equations
Eduardo Casas, Mariano Mateos, Arnd Rösch
In this paper we study optimal control problems governed by a semilinear elliptic equation. The equation is nonmonotone due to the presence of a convection term, despite the monoto…
Error estimates for joint Tikhonov- and Lavrentiev-regularization of constrained control problems
Dirk A. Lorenz, Arnd Rösch
We consider joint Tikhonov- and Lavrentiev-regularization of control problems with pointwise control- and state-constraints. We derive error estimates for the error which is introd…