Global weak solutions for a generalized Camassa–Holm equation

Xi Tu and Zhaoyang Yin

Mathematische Nachrichten, 2018, vol. 291, issue 16, 2457-2475

Abstract: In this paper we mainly investigate the Cauchy problem of a generalized Camassa–Holm equation. We first derive two global existence results and two blow‐up results from the relationship between the Degasperis–Procesi equation and the generalized Camassa–Holm equation. We then prove the existence and uniqueness of global weak solutions under some certain sign conditions on the initial data.

Date: 2018
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https://doi.org/10.1002/mana.201700038

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:291:y:2018:i:16:p:2457-2475

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