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math.OC2024
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…
math.OC2024★ 2 cited
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…