Non Linear Singular Drifts and Fractional Operators

Diego Chamorro; Stéphane Menozzi

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arXiv · 2206.07420

Non Linear Singular Drifts and Fractional Operators

Diego Chamorro·Stéphane Menozzi

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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.

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Diego Chamorro, Stéphane Menozzi. 2022-06-15. Non Linear Singular Drifts and Fractional Operators. https://arxiv.org/abs/2206.07420

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