非局部抛物型$p$-Laplace方程的局部Hölder正则性
偏微分方程分析
2024-01-05 v2
摘要
我们证明了如下形式非局部抛物型方程的局部Hölder正则性 \begin{align*} \partial_t u + \text{P.V.}\int_{\mathbb{R}^N} \frac{|u(x,t)-u(y,t)|^{p-2}(u(x,t)-u(y,t))}{|x-y|^{N+sp}}\,dy=0, \end{align*} 其中 且 。
引用
@article{arxiv.2205.09695,
title = {Local H\"older regularity for nonlocal parabolic $p$-Laplace equations},
author = {Karthik Adimurthi and Harsh Prasad and Vivek Tewary},
journal= {arXiv preprint arXiv:2205.09695},
year = {2024}
}
备注
Typos corrected and covering argument has been updated