Global Weak Solution for a generalized Camassa-Holm equation

Published 7 Nov 2015 in math.AP | (1511.02848v2)

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.

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