Quantitative parabolic regularity à la De Giorgi
Jessica Guerand · Séminaire Laurent Schwartz — EDP et applications · 2019
We deal with the De Giorgi Hölder regularity theory for parabolic equations with rough coefficients. We give a quantitative proof of the interior Hölder regularity of solutions of parabolic equations using De Giorgi method. More precisely, we give a quantitative proof of the last non quantitative step of the method for parabolic equations, namely the intermediate value lemma , one of the two main tools of the De Giorgi method sometimes called “second lemma of De Giorgi”.