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The existence of the global entropy weak solutions for a generalized Camassa-Holm equation
Published 13 Mar 2017 in math.AP | (1703.04218v1)
Abstract: In this paper, we prove the existence of a global entropy weak solution $u\in H1(\mathbb{R})$ and $\partial_{x}u\in L1(\mathbb{R})\cap BV(\mathbb{R})$ for the Cauchy problem of a generalized Camassa-Holm equation by the viscous approximation method.
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