PreprintCC BY 4.0arXiv
C1-estimates in nonlocal parabolic problems
Abstract
Under a minimal tail condition, local weak solutions to a class of nonlinear nonlocal parabolic equations modeled on the fractional heat equation possess continuous spatial derivatives.
Related
- Integral Harnack-type estimates and the rate of extinction for nonlocal doubly nonlinear parabolic equations
- Harnack-type inequalities for nonlocal doubly nonlinear parabolic equations
- Interior regularity of mixed local-nonlocal parabolic semilinear equations
- Gradient self-improvement for mixed local and nonlocal parabolic equations
- Harnack-type inequalities for nonlocal parabolic equations in the upper fast-diffusion range
BibTeX
@misc{bogelein2026c1estimates,
title = {{$C^1$-estimates in nonlocal parabolic problems}},
author = {Verena Bögelein and Naian Liao and Calvin Stanko},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03122},
eprint = {2611.03122},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03122},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - C^1-estimates in nonlocal parabolic problems
AU - Verena Bögelein
AU - Naian Liao
AU - Calvin Stanko
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03122
UR - https://arxiv.org/abs/2611.03122
AB - Under a minimal tail condition, local weak solutions to a class of nonlinear nonlocal parabolic equations modeled on the fractional heat equation possess continuous spatial derivatives.
ER -