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
Organized by: FAU CAA-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)

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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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Date

Fri. Mar 05, 2021
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Time

13:00 - 14:00

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Worldwide
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FAU DCN-AvH
FAU DCN-AvH
Website
http://www.dcn.nat.fau.eu