UBC Math Department Colloquium: Mathav Murugan

  • Date: 01/18/2017
  • Time: 15:00
Lecturer(s):
Mathav Murugan, UBC
Location: 

University of British Columbia

Topic: 

Stability of elliptic Harnack inequality

Description: 

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