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Time-insensitive nonlocal parabolic Harnack estimates

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arxiv 2409.20097 v2 pith:PX6A43SL submitted 2024-09-30 math.AP math.PR

Naian Liao , Marvin Weidner This is my paper · ORCID
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keywords nonlocalharnackparabolicestimatessolutionswaiting-timeallowsbounded
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonnegative solutions to nonlocal parabolic equations

    math.AP 2025-05 conditional novelty 8.0 of 10

    Nonnegative solutions to nonlocal parabolic equations with bounded measurable coefficients are represented exactly by a fundamental solution, with sharp two-sided bounds and new Harnack inequalities.

  2. Logarithmic continuity for the Nonlocal degenerate two-phase Stefan problem

    math.AP 2025-04 conditional novelty 6.0 of 10

    Weak solutions of the nonlocal p>2 two-phase Stefan problem have a logarithmic modulus of continuity up to the boundary, and a continuous weak solution of the initial-boundary value problem exists.

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