Global weak solutions for a three-component Camassa-Holm system with N-peakon solutions

Abstract

In this paper we mainly investigate the Cauchy problem of a three-component Camassa-Holm system. By using the method of approximation of smooth solutions, a regularization technique and the special structure of the system, we prove the existence of global weak solutions to the system.

arXiv admin note: text overlap with arXiv:1505.03992