Analyticity of the Cauchy problem and persistence properties for a generalized Camassa-Holm equation
Analysis of PDEs
2015-11-10 v1
Abstract
This paper is mainly concerned with the Cauchy problem for a generalized Camassa-Holm equation with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time. Then, we present a persistence property for strong solutions to the system. Finally, explicit asymptotic profiles illustrate the optimality of these results.
Keywords
Cite
@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}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1505.00086; text overlap with arXiv:1202.0718 by other authors