Year: 2026
Type: preprint
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 $p \in [1/(1-s), 2/(1-s))$.
Source: arXiv (Cornell University)
Institutions: University of Parma, University of Chicago
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213582327