Research Seminar (Continuing Class)
The talks are streamed via ZOOM.
|May 11, 2021, 2 pm||Dr. Michela Egidi (Bochum)|
The Control Problem for the heat equation on rectangular domains
We study the internal controllability of the heat equation on unbounded rectangular domains, for example the whole space, the half-space or the infinite strip, where the control set is a thick subset, meaning that it is well-distributed in the domain. We show that thickness is a sufficient condition for null-controllability of the system and that it is also possible to provide a sharp bound for the control cost in terms of the geometric parameters of the problem. We will also show that thickness is necessary for null-controllability.
You can find previous talks in the archive of the research seminar.