Global Weak Solution for a generalized Camassa-Holm equation

Abstract

In this paper we mainly investigate the Cauchy problem of a generalized Camassa-Holm equation. First by this relationship between the Degasperis-Procesi equation and the generalized Camassa-Holm equation, we then obtain two global existences result and two blow-up result. Then, we prove the existence and uniqueness of global weak solutions.

arXiv admin note: text overlap with arXiv:1505.00086, arXiv:1511.02316

Cited by in corpus (1)

• The existence of the global entropy weak solutions for a generalized Camassa-Holm equation