On the modulus of continuity of solutions to nonlocal parabolic equations
Analysis of PDEs
2024-01-04 v1
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 -Laplacian with measurable kernels.
Keywords
Cite
@article{arxiv.2401.01816,
title = {On the modulus of continuity of solutions to nonlocal parabolic equations},
author = {Naian Liao},
journal= {arXiv preprint arXiv:2401.01816},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2205.10111