English

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

Analysis of PDEs 2023-07-03 v1

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.

Keywords

Cite

@article{arxiv.2306.17359,
  title  = {Higher H\"older regularity for nonlocal parabolic equations with irregular kernels},
  author = {Sun-Sig Byun and Hyojin Kim and Kyeongbae Kim},
  journal= {arXiv preprint arXiv:2306.17359},
  year   = {2023}
}

Comments

To appear J. Evol. Equ. (2023)

R2 v1 2026-06-28T11:18:33.145Z