Non-uniform dependence for the two-component Camassa-Holm shallow water system
Analysis of PDEs
2020-10-20 v1
Abstract
In this paper, we consider the solution map of the initial value problem to the two-component Camassa-Holm equation on the line. We prove that the solution map of this problem is not uniformly continuous in Sobolev spaces for .
Keywords
Cite
@article{arxiv.2010.08747,
title = {Non-uniform dependence for the two-component Camassa-Holm shallow water system},
author = {Jinlu Li and Yanghai Yu and Weipeng Zhu},
journal= {arXiv preprint arXiv:2010.08747},
year = {2020}
}
Comments
15 pages