带漂移项的非齐次超抛物方程弱解的 $C^{\alpha}$ 正则性
偏微分方程分析
2019-06-04 v2
摘要
考虑一类源于某些物理模型、带漂移项或低阶项的非齐次超抛物微分方程，我们证明了其弱解满足 H\"{o}lder 连续性，这也推广了二阶抛物方程的经典结果。主要工具是非负弱下解满足的一类弱 Poincar\'{e} 不等式以及 Moser 迭代。
引用
@article{arxiv.1704.05323,
title = {$C^{\alpha}$ regularity of weak solutions of non-homogenous ultraparabolic equations with drift terms},
author = {Wendong Wang and Liqun Zhang},
journal= {arXiv preprint arXiv:1704.05323},
year = {2019}
}
备注
We delete the Prandtl part and add some details for $L^\infty$ estimate. arXiv admin note: text overlap with arXiv:0711.3411