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

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.

This meeting starts at 3pm in France time (9pm ET). Here is the zoom link: univ-cotedazur.zoom.us/j/82084903423?pwd=UUJIS0ZSUm5lR1FZcDFoWTd4Wis3dz09

analysis of PDEs

Audience: researchers in the topic

Open PDE and analysis seminar and lectures