Hölder estimates for non-local parabolic equations with critical drift

2014/08/04 by Chang-Lara, Hector, Davila, Gonzalo · 1 citation
#45K05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1408.0676

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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