Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions

Next Thursday January 18, 2023:

Organized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Title: Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions
Speaker: Prof. Sebastián Zamorano Aliaga
Affiliation: University of Santiago of Chile

Abstract. In this talk, we consider a fully-discrete approximation of a 1-D heat equation with dynamic boundary conditions for which we provide a controllability result. The proof of this result is based on a relaxed observability inequality for the corresponding adjoint system. This is conducted using a suitable Carleman estimate for such models where the discrete parameters h and \Delta t are connected to one of the large Carleman parameters. At the end, we will present a non-exhaustive list of open problems and perspectives in the field.

WHEN

Thu. January 18, 2023 at 11:00H

WHERE

FAU. Friedrich-Alexander-Universität Erlangen-Nürnberg
On-site. Room 01.019. Elektrotechnik building

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