Modul:   MAT675  PDE and Mathematical Physics

Quantitative regularity for parabolic De Giorgi classes

Talk by Dr. Jessica Guerand

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.