Time-insensitive nonlocal parabolic Harnack estimates
Analysis of PDEs
2025-05-14 v2 Probability
Abstract
We establish new Harnack estimates that defy the waiting-time phenomenon for global solutions to nonlocal parabolic equations. Our technique allows us to consider general nonlocal operators with bounded measurable coefficients. Moreover, we show that a waiting-time is required for the nonlocal parabolic Harnack inequality when local solutions are considered.
Cite
@article{arxiv.2409.20097,
title = {Time-insensitive nonlocal parabolic Harnack estimates},
author = {Naian Liao and Marvin Weidner},
journal= {arXiv preprint arXiv:2409.20097},
year = {2025}
}
Comments
to appear in Proc. Lond. Math. Soc