On existence and uniqueness of the global weak solution for a shallow water equation
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摘要
A shallow water equation including the Camassa–Holm and Degasperis–Procesi equations as special cases is investigated. Provided that initial value u0∈H1(R),u0∈L1(R), and (1-∂x2)u0 does not change sign, the existence and uniqueness of global weak solution for the equation are established.
论文关键词：Existence,Uniqueness,Global weak solution,A shallow water wave equation
论文评审过程：Available online 14 June 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2012.05.029
