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arXiv · 1408.0676

H\"older estimates for non-local parabolic equations with critical drift

Hector Chang-Lara·Gonzalo Davila
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Abstract

In this paper we extend previous results on the regularity of solutions of integro-differential parabolic equations. The kernels are non necessarily symmetric which could be interpreted as a non-local drift with the same order as the diffusion. We provide an Oscillation Lemma and a Harnack Inequality which can be used to prove higher regularity estimates.

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Hector Chang-Lara, Gonzalo Davila. 2014-08-04. H\"older estimates for non-local parabolic equations with critical drift. https://arxiv.org/abs/1408.0676

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