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”.
@article{SLSEDP_2018-2019____A6_0, author = {Jessica Guerand}, title = {Quantitative parabolic regularity \`a la {De~Giorgi}}, journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications}, note = {talk:6}, pages = {1--21}, publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {2018-2019}, doi = {10.5802/slsedp.129}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.129/} }
TY - JOUR AU - Jessica Guerand TI - Quantitative parabolic regularity à la De Giorgi JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:6 PY - 2018-2019 SP - 1 EP - 21 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.129/ DO - 10.5802/slsedp.129 LA - en ID - SLSEDP_2018-2019____A6_0 ER -
%0 Journal Article %A Jessica Guerand %T Quantitative parabolic regularity à la De Giorgi %J Séminaire Laurent Schwartz — EDP et applications %Z talk:6 %D 2018-2019 %P 1-21 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.129/ %R 10.5802/slsedp.129 %G en %F SLSEDP_2018-2019____A6_0
Jessica Guerand. 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. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.129/
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