Webrelaunch 2020

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.