Quantitative regularity à la De Giorgi
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De Giorgi method is a way to prove Hölder regularity of
solutions of elliptic and 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.
This talk is part of the Cambridge Analysts' Knowledge Exchange series.
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