WG4 Research Seminar - Talk by Alessandro Duca

On April 6th, 2022, Dr. Alessandro Duca (University Paris-Saclay) will give a talk at 2:30 pm CET about

"Global exact controllability of the bilinear Schrödinger equation on graphs".

The talk will be held online in Zoom as part of the research seminar Analysis of the FernUniversität in Hagen. The zoom URL will be sent to all members of the WG4 and to all further colleagues who send a mail to Delio Mugnolo.

Abstract

We consider a bilinear Schrödinger equation (BSE) on a metric graph-type domain with some control u. The Laplacian is equipped with selfadjoint boundary conditions.

In the first part of the talk, we consider a compact graph and we ensure the global exact controllability of the (BSE) when a specific spectral gap is verified. In the second part, we show how to validate such hypothesis in some examples of compact graphs. Finally, we discuss how to study the exact controllability of the (BSE) on infinite graphs despite the dispersive behaviour of the equation.