Colloque des sciences mathématiques du Québec

19 février 2021 de 15 h 30 à 16 h 30 (heure de Montréal/HNE)

Local smoothing for the wave equation

Colloque par Larry Guth (MIT)

The local smoothing problem asks about how much solutions to the wave equation can focus.  It was formulated by Chris Sogge in the early 90s.  Hong Wang, Ruixiang Zhang, and I recently proved the conjecture in two dimensions.  In the talk, we will build up some intuition about waves to motivate the conjecture, and then discuss some of the obstacles and some ideas from the proof.