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Open PDE & Analysis Seminar and Lectures

Prof Claude Zuily (Université Paris Saclay, Orsay)

Quantitative unique continuation: an introduction. After A.Logunov and E. Malinnikova.

5th February 2021, 3pm (Paris time)

Abstract : The question of the unique continuation from open sets for solutions of elliptic equations with Lipschitz coefficients as well as its quantitative version have been positively answered a long time ago mainly using the technique of Carleman estimates. The same question where the open set is replaced by a set of positive measure is more recent. In 2017 A. Logunov and E. Malinnikova introduced new ideas to face this problem. The present lecture is an introduction to their techniques which appear to have applications to the study of the size of the nodal sets of eigenfunctions as well as to control theory.

Lecture notes pdf.

Zoom link

This is the link to the talk: TBA

https://univ-cotedazur.zoom.us/j/82084903423?pwd=UUJIS0ZSUm5lR1FZcDFoWTd4Wis3dz09
Meeting ID: 820 8490 3423
Acces code: 743284.





Organisers

Thomas Alazard (ENS Paris-Saclay)     Nicolas Burq (Orsay)     Clément Mouhot (Cambridge)
Iván Moyano (Nice)     Benoit Pausader (Brown)     Marjolaine Puel (Cergy-Pontoise)