The Cauchy problem for coupled system of the generalized Camassa-Holm equations

Local well-posedness for the Cauchy problem of coupled system of generalized Camassa-Holm equations in the Besov spaces is established by employing the Littlewood-Paley theory and a priori estimate of solution to transport equation. Furthermore, the blow-up criterion of solutions to the problem is i...

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Bibliographic Details
Main Authors: Sen Ming, Jiayi Du, Yaxian Ma
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022810?viewType=HTML