某些非线性输运方程的$C^{\gamma}$适定性
偏微分方程分析
2022-01-14 v4
摘要
给定为类且次数为齐次的核，我们证明了一些以密度与的卷积为速度场的非线性输运方程存在唯一的Hölder正则解。聚集方程、三维准地转方程和二维Euler方程都可通过的特定选取得到。
引用
@article{arxiv.2103.06755,
title = {$C^{\gamma}$ well-posedness of some non-linear transport equations},
author = {J. C. Cantero},
journal= {arXiv preprint arXiv:2103.06755},
year = {2022}
}
备注
Some typos have been corrected. I have to thank to Joan Orobitg, Joan Mateu and Joan Verdera for their comments. In v3, we have updated the previous result to a wider class of equations. In v4, a problem with color has been solved