The Space Global Weak Solutions to the Weakly Dissipative Camassa-Holm Equation

Zhaowei Sheng, Shaoyong Lai, Yuan Ma and Xuanjun Luo

Abstract and Applied Analysis, 2012, vol. 2012, 1-21

Abstract:

The existence of global weak solutions to the Cauchy problem for a generalized Camassa-Holm equation with a dissipative term is investigated in the space × ; provided that its initial value belongs to the space . A one-sided super bound estimate and a space-time higher-norm estimate on the first-order derivatives of the solution with respect to the space variable are derived.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:693010

DOI: 10.1155/2012/693010

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