Geodesic
Quantitative parabolic regularity à la De Giorgi
Guerand, Jessica1
1DPMMS, University of Cambridge United Kingdom
Séminaire Laurent Schwartz — EDP et applications (2018-2019), Talk no. 6, 21 p.

See the original proceeding notice from the Numdam source

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”.

Published online:
DOI: 10.5802/slsedp.129

Guerand, Jessica  1

1 DPMMS, University of Cambridge United Kingdom 
Guerand, Jessica. Quantitative parabolic regularity à la De Giorgi. Séminaire Laurent Schwartz — EDP et applications (2018-2019), Talk no. 6, 21 p.. doi: 10.5802/slsedp.129
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     title = {Quantitative parabolic regularity \`a la {De~Giorgi}},
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     pages = {1--21},
     year = {2018-2019},
     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     doi = {10.5802/slsedp.129},
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     url = {http://geodesic.mathdoc.fr/articles/10.5802/slsedp.129/}
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