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