Quantitative regularity for parabolic De Giorgi classes

Abstract

We consider Parabolic De Giorgi classes for which we give a fully quantitative proof of the H\''older continuity for functions in these classes using the De Giorgi method. The main result is a quantitative proof of the intermediate value lemma, also known as the second lemma of De Giorgi. This paper is self-contained.

References in corpus (2)

• Local regularity for parabolic nonlocal operators
• A Nash Type result for Divergence Parabolic Equation related to Hormander's vector fields

Cited by in corpus (2)

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