Diff. Geom, Math. Phys., PDE Seminar: Hideyuki Miura

  • Date: 09/19/2017
  • Time: 15:30
Hideyuki Miura, Tokyo Institute of Technology

University of British Columbia


On uniqueness for the harmonic map heat flow in supercritical dimensions


We examine the question of uniqueness for the equivariant reduction of the harmonic map heat flow in the energy supercritical dimension. It is shown that, generically, singular data can give rise to two distinct solutions which are both stable, and satisfy the local energy inequality. We also discuss how uniqueness can be retrieved. This is a joint work with Pierre Germain and Tej-Eddine Ghoul.

Other Information: 

Location of seminar: ESB 2012
Tue 19 Sep 2017, 3:30pm-4:30pm