On the modulus of continuity of solutions to nonlocal parabolic equations

Naian Liao

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arXiv · 2401.01816

On the modulus of continuity of solutions to nonlocal parabolic equations

Naian Liao

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Abstract

A general modulus of continuity is quantified for locally bounded, local, weak solutions to nonlocal parabolic equations, under a minimal tail condition. H\"older modulus of continuity is then deduced under a slightly stronger tail condition. These regularity estimates are demonstrated under the framework of nonlocal $p$-Laplacian with measurable kernels.

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Naian Liao. 2024-01-03. On the modulus of continuity of solutions to nonlocal parabolic equations. https://arxiv.org/abs/2401.01816

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