Modul: MAT675 PDE and Mathematical Physics

## Quantitative regularity for parabolic De Giorgi classes

Dr. Jessica Guerand talk

**Date:** 31.10.19 **Time:** 18.10 - 19.10 **Room:** Y27H35/36

De Giorgi method is a way to prove Hölder regularity of solutions of parabolic equations. While in the elliptic case the proof is completely quantitative, in the parabolic case it seems to remain a non-quantitative step: the intermediate value lemma. The purpose of this talk is to present a quantitative version of this step after introducing how it is useful to get Hölder regularity.