Non Linear Singular Drifts and Fractional Operators
Analysis of PDEs
2022-06-16 v1
Abstract
We consider parabolic PDEs associated with fractional type operators drifted by non-linear singular first order terms. When the drift enjoys some boundedness properties in appropriate Lebesgue and Besov spaces, we establish by exploiting a priori Besov-type estimates, the H{\"o}lder continuity of the solutions. In particular, we handle the almost critical case in whole generality.
Cite
@article{arxiv.2206.07420,
title = {Non Linear Singular Drifts and Fractional Operators},
author = {Diego Chamorro and Stéphane Menozzi},
journal= {arXiv preprint arXiv:2206.07420},
year = {2022}
}