PreprintCC BY 4.0arXiv
Hölder gradient estimates for fractional p-caloric functions
Abstract
We establish interior C1,α regularity estimates, for some α> 0, for fractional p-caloric functions when p is in the range p ∈ (2,2/(1−s)). As a consequence, we deduce improved regularity in time, which yields interior continuous differentiability in time for p ∈ [1/(1−s), 2/(1−s)).
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BibTeX
@misc{giovagnoli2026hölder,
title = {{Hölder gradient estimates for fractional $p$-caloric functions}},
author = {Davide Giovagnoli and David Jesus and Luis Silvestre},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20097},
eprint = {2609.20097},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20097},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Hölder gradient estimates for fractional p-caloric functions
AU - Davide Giovagnoli
AU - David Jesus
AU - Luis Silvestre
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.20097
UR - https://arxiv.org/abs/2609.20097
AB - We establish interior C^1,α regularity estimates, for some α> 0, for fractional p-caloric functions when p is in the range p ∈ (2,2/(1−s)). As a consequence, we deduce improved regularity in time, which yields interior continuous differentiability in time for p ∈ [1/(1−s), 2/(1−s)).
ER -