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)
Datum: 05-03-2021Zeit: 13:00 – 14:00Ort: Online
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.
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