Higher H\"older regularity for nonlocal parabolic equations with irregular kernels

Sun-Sig Byun; Hyojin Kim; Kyeongbae Kim

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arXiv · 2306.17359

Higher H\"older regularity for nonlocal parabolic equations with irregular kernels

Sun-Sig Byun·Hyojin Kim·Kyeongbae Kim

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Abstract

We study a nonlocal parabolic equation with an irregular kernel coefficient to establish higher H\"older regularity under an appropriate higher integrablilty on the nonhomogeneous terms and a minimal regularity assumption on the kernel coefficient.

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Sun-Sig Byun, Hyojin Kim, Kyeongbae Kim. 2023-06-30. Higher H\"older regularity for nonlocal parabolic equations with irregular kernels. https://arxiv.org/abs/2306.17359

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