广义 Camassa-Holm 方程 Cauchy 问题的解析性与持久性质
偏微分方程分析
2015-11-10 v1
摘要
本文主要研究具有解析初始数据的广义 Camassa-Holm 方程的 Cauchy 问题。证明了其解在空间上全局、时间上局部的解析性。随后，给出了该系统强解的持久性质。最后，显式渐近轮廓说明了这些结果的 optimality。
引用
@article{arxiv.1511.02316,
title = {Analyticity of the Cauchy problem and persistence properties for a generalized Camassa-Holm equation},
author = {Xi Tu and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1511.02316},
year = {2015}
}
备注
arXiv admin note: substantial text overlap with arXiv:1505.00086; text overlap with arXiv:1202.0718 by other authors