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The Control Problem of the heat equation on rectangular domains

  • Referent: Dr. Michela Egidi
  • Termin: 11.5.2021, 14:00 - 15:00 Uhr
  • Gastgeber: Prof. Dr. Roland Schnaubelt

Zusammenfassung

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.