A non-controllability result for the half-heat equation on the whole line based on the prolate spheroidal wave functions and its application to the Grushin equation (P. Lissy, Université Paris-Dauphine, France)

A non-controllability result for the half-heat equation on the whole line based on the prolate spheroidal wave functions and its application to the Grushin equation

Speaker: Prof. Dr. Pierre Lissy
Affiliation: Université Paris-Dauphine, France

Zoom link: Meeting ID: 999 5978 4690, Passcode: 628377

Abstract: In this talk, after recalling some basic elements of linear control theory, I will explain how one can use some special functions, the Prolate Spheroidal Wave Functiosn (PSWF), that saturate some uncertainty principle, can be used to give non-controllability results for the half-heat equation on the real line, and for the Grushin equations on the plane.

https://en.www.math.fau.de/applied-analysis/