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arXiv · 1203.2126

Local regularity for parabolic nonlocal operators

Matthieu Felsinger·Moritz Kassmann
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Abstract

Weak solutions to parabolic integro-differential operators of order $α\in (α_0, 2)$ are studied. Local a priori estimates of Hölder norms and a weak Harnack inequality are proved. These results are robust with respect to $α\nearrow 2$. In this sense, the presentation is an extension of Moser's result in 1971.

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Matthieu Felsinger, Moritz Kassmann. 2013-05-20. Local regularity for parabolic nonlocal operators. https://doi.org/10.1080/03605302.2013.808211

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