Quantitative regularity for parabolic De Giorgi classes

Vortrag von Dr. Jessica Guerand

Datum: 31.10.19  Zeit: 18.10 - 19.10  Raum: 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.