2 citations · 2 across the 5 of their papers we have counts for
6 papers
Optimal control of an evolution equation with non-smooth dissipation
Tobias Geiger, Daniel Wachsmuth
In the present work we study the optimal control of an evolution equation with non-smooth dissipation. The solution mapping of this system is non-smooth and hence the analysis is q…
Full Stability for a Class of Control Problems of Semilinear Elliptic Partial Differential Equations
Nguyen Thanh Qui, Daniel Wachsmuth
We investigate full Lipschitzian and full Hölderian stability for a class of control problems governed by semilinear elliptic partial differential equations, where all the cost fun…
Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems
Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth
We consider bilinear optimal control problems, whose objective functionals do not depend on the controls. Hence, bang-bang solutions will appear. We investigate sufficient second-o…
Stability for Bang-Bang Control Problems of Partial Differential Equations
Nguyen Thanh Qui, Daniel Wachsmuth
In this paper, we investigate solution stability for control problems of partial differential equations with the cost functional not involving the usual quadratic term for the cont…
On the switching behavior of sparse optimal controls for the one-dimensional heat equation
Fredi Troeltzsch, Daniel Wachsmuth
An optimal boundary control problem for the one-dimensional heat equation is considered. The objective functional includes a standard quadratic terminal observation, a Tikhonov reg…
Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations
Frank Pörner, Daniel Wachsmuth
In this article, we consider the Tikhonov regularization of an optimal control problem of semilinear partial differential equations with box constraints on the control. We derive a…