具有各向异性权重的拟线性奇异抛物方程解局部正则性
偏微分方程分析
2024-06-05 v4
摘要
本文为研究 p-Laplacian 型各向异性加权拟线性奇异抛物方程解的局部行为发展了一个简洁的程序，该程序通过改进能量不等式并将内蕴尺度因子应用于 De Giorgi 截断方法来实现。特别地，本文还为无权重情况下解的局部 Hölder 连续性提供了一个新的证明。
引用
@article{arxiv.2312.02875,
title = {Local regularity for solutions to quasi-linear singular parabolic equations with anisotropic weights},
author = {Changxing Miao and Zhiwen Zhao},
journal= {arXiv preprint arXiv:2312.02875},
year = {2024}
}
备注
We achieve a concise and elegant proof by improving the energy inequalities and applying the redefined intrinsic scaling factor to the De Giorgi truncation method