Colloque des sciences mathématiques du Québec

24 mars 2023 de 15 h 30 à 16 h 30 (heure de Montréal/HNE) Sur place

Unique continuation for solutions of discrete and continuous elliptic partial differential equations

Colloque par Eugenia Malinnikova (Stanford University)

In this talk we will give an overview of some recent results on unique continuation property at infinity for solutions of elliptic equations. Our first result is an unexpected uniqueness property for discrete harmonic functions. This property is connected to Anderson localization for Anderson-Bernoulli model in dimensions two and three. We will explain this connection. Another result is the solution of the Landis conjecture on the decay of the real-valued solutions of the Schrodinger equation with bounded potential. The talk is based on joint works with Buhovsky, Logunov, Sodin, Nadirashvili, and Nazarov.


Centre de recherches mathématiques Pavillon André-Aisenstadt, Université de Montréal Room 5340