UBC Math Department Colloquium: Mathav Murugan

  • Date: 01/18/2017
  • Time: 15:00
Mathav Murugan, UBC

University of British Columbia


Stability of elliptic Harnack inequality


Harnack inequalities have proved to be a powerful tool in PDE (regularity estimates), geometry (geometric flows) and probability (heat kernel estimates). In the early 1990s Grigor'yan and Saloff-Coste gave a characterisation of the parabolic Harnack inequality (PHI). This characterisation implies that PHI is stable under perturbations (quasi-isometries). In this talk, I will provide an introduction to Harnack inequalities and discuss the stability of elliptic Harnack inequality.


This is joint work with Martin Barlow.

Other Information: 

Location: ESB 2012