Time-insensitive nonlocal parabolic Harnack estimates

Naian Liao; Marvin Weidner

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arXiv · 2409.20097

Time-insensitive nonlocal parabolic Harnack estimates

Naian Liao·Marvin Weidner

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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.

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Naian Liao, Marvin Weidner. 2024-09-30. Time-insensitive nonlocal parabolic Harnack estimates. https://arxiv.org/abs/2409.20097

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