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arXiv · 2609.20097

Hölder gradient estimates for fractional $p$-caloric functions

Davide Giovagnoli·David Jesus·Luis Silvestre
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Abstract

We establish interior $C^{1,α}$ regularity estimates, for some $α> 0$, for fractional $p$-caloric functions when $p$ is in the range $p \in (2,2/(1-s))$. As a consequence, we deduce improved regularity in time, which yields interior continuous differentiability in time for $p \in [1/(1-s), 2/(1-s))$.

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Davide Giovagnoli, David Jesus, Luis Silvestre. 2026-09-17. Hölder gradient estimates for fractional $p$-caloric functions. https://arxiv.org/abs/2609.20097

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