Regularization for the supercritical quasi-geostrophic equation
classification
🧮 math.AP
keywords
equationquasi-geostrophicsupercriticalargumentassumptionscaffarellidatumgiorgi
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Motivated by the De Giorgi type argument used in a recent paper by Caffarelli and Vasseur, we prove H\"older-regularity for weak solutions of the supercritical quasi-geostrophic equation with minimal assumptions on the initial datum.
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