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A Hölder estimate with an optimal tail for nonlocal parabolic p-Laplace equations

Annali di Matematica Pura ed Applicata, ISSN: 1618-1891, Vol: 203, Issue: 1, Page: 109-147
2024
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Article Description

We study a weak solution of a homogeneous nonlocal parabolic equation of the p-Laplacian type. We identify a minimal regularity assumption on the associated parabolic nonlocal tail for which the weak solution enjoys Hölder’s regularity.

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