 |
Universität Augsburg
|
|
|
Universität Augsburg
|
|
Dr. Constantin Christof
Technische Universität München
spricht am
Donnerstag, 10. Dezember 2020
um
16:15 Uhr
im
zoom (auf Anfrage)
über das Thema:
| Abstract: |
|
This talk is concerned with parabolic optimal control problems that involve pointwise state constraints. We show that, if the bound in the state
constraint satisfies a suitable compatibility condition, then optimal controls
enjoy L∞(0, T;L
2
(Ω))-, L
2
(0, T; H1
(Ω))- and (with a suitable Banach space
Y ) BV (0, T; Y
∗
)-regularity. In contrast to classical approaches, our analysis
requires neither a Slater point nor additional control constraints nor assumptions on the spatial dimension nor smoothness of the objective function. We
demonstrate that the obtained improved regularity results give rise to new finite
element error estimates for state-constrained optimal control problems.
Interessierten wird der Zoom-Link per E-Mail-Anfrage mitgeteilt. |
| Hierzu ergeht herzliche Einladung. |