On existence and uniqueness of the global weak solution for a shallow water equation

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• 作者：Yunxi Guo ; Shaoyong Lai ; Yonghong Wu
• 关键词：Existence ; Uniqueness ; Global weak solution ; A shallow water wave equation
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 出版时间：1 August, 2012
• 年：2012
• 卷：218
• 期：23
• 页码：11410-11420
• 全文大小：250 K

文摘

A shallow water equation including the Camassa-Holm and Degasperis-Procesi equations as special cases is investigated. Provided that initial value , and does not change sign, the existence and uniqueness of global weak solution for the equation are established.