周期 $\mu$-Camassa-Holm 方程的全局保守解
偏微分方程分析
2024-06-19 v2
摘要
本文主要研究周期 -Camassa-Holm 方程。我们证明了周期 -Camassa-Holm 方程柯西问题全局保守解的存在性。该结果通过引入一个到拉格朗日坐标的坐标变换得到。我们的解连续依赖于初始数据,并具有半群性质。
引用
@article{arxiv.1609.09176,
title = {Global conservative solution for the periodic $\mu$-Camassa-Holm equation},
author = {Wei Luo and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1609.09176},
year = {2024}
}
备注
This paper has been withdrawn by the author due to a similar result has been published