Gevrey regularity and analyticity for Camassa-Holm type systems
Analysis of PDEs
2018-12-31 v1
Abstract
In this paper we mainly investigate the Cauchy problem of some Camassa-Holm type systems. By constructing a new auxiliary function, we present a generalized Ovsyannikov theorem. By using this theorem and the basic properties of Sobolev-Gevrey spaces, we prove the Gevrey regularity and analyticity of these systems. Moreover, we obtain a lower bound of the lifespan and the continuity of the data-to-solution map.
Cite
@article{arxiv.1507.05250,
title = {Gevrey regularity and analyticity for Camassa-Holm type systems},
author = {Wei Luo and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1507.05250},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1506.01183