直线上 CH 方程对初值的非一致依赖性
偏微分方程分析
2010-09-24 v1
摘要
我们证明了直线上 Camassa-Holm 方程的流映射在指标为 的 Sobolev 空间中不具有一致连续性。
引用
@article{arxiv.1009.4685,
title = {Non-uniform dependence on initial data for the CH equation on the line},
author = {A. Alexandrou Himonas and Carlos Kenig},
journal= {arXiv preprint arXiv:1009.4685},
year = {2010}
}
备注
This is a corrected version of the paper that appeared in Diff. and Int. Eqns. 22 (2009), 201-224. We are indebted to Yanggeng Fu for pointing out that our argument only applies in the range s > 3/2 and not in the range s > 1 as originally stated