On the modified multi-component Camassa-Holm system in higher dimensions
Analysis of PDEs
2016-06-03 v1
Abstract
This paper is devoted to the Cauchy problem for the modified multi-component Camassa-Holm system in higher dimensions. On the one hand, we establish an almost complete local well-posedness results for the system in the framework of Besov spaces. On the other hand, several blow-up criteria of strong solutions to the system are derived by using the Littlewood-Paley decomposition and the energy method.
Cite
@article{arxiv.1606.00671,
title = {On the modified multi-component Camassa-Holm system in higher dimensions},
author = {Kai Yan},
journal= {arXiv preprint arXiv:1606.00671},
year = {2016}
}