Eugenia Malinnikova (Stanford University)
TITRE / TITLE
Unique continuation for solutions of discrete and continuous elliptic partial differential equations
RÉSUMÉ / ABSTRACT
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.
LIEU / PLACE
CRM, Salle / Room 5340, Pavillon André Aisenstadt
Une réception suivra au salon Maurice-Labbé (salle 6245)
A reception will follow in the Maurice-Labbé lounge (room 6245)
ZOOM
ID: 842 2670 1306 / CODE: 692788
ORGANISATEURS / ORGANIZERS
Erica Moodie (Ï㽶ÊÓƵ)
Giovanni Rosso (Concordia University)
Alina Stancu (Concordia University)
Hugh R. Thomas (Université du Québec à Montréal)
Guy Wolf (Université de Montréal)