Stability of the elliptic Harnack Inequality

Speaker(s): 
Martin Barlow (University of British Columbia)
Date: 
Wednesday, November 23, 2016 - 5:00pm
Location: 
TU Berlin, Straße des 17. Juni 136, 10623 Berlin, Raum MA 004

Following the work of Moser, as well as de Giorgi and Nash, Harnack inequalities have proved to be a powerful tool in PDE as well as in the study of the geometry of spaces. In the early 1990s Grigor'yan and Saloff-Coste gave a characterisation of the parabolic Harnack inequality (PHI). This characterisation implies that the PHI is stable under bounded perturbation of weights, as well as rough isometries. In this talk I will discuss the proof of the stability of the elliptic Harnack inequality.

This is joint work with Mathav Murugan (UBC).