On existence and uniqueness of the global weak solution for a shallow water equation
Abstract
A shallow water equation including the Camassa–Holm and Degasperis–Procesi equations as special cases is investigated. Provided that initial value uo ε H1 (R), uo ε L1 (R), and (1 - 2x)uo does not change sign, the existence and uniqueness of global weak solution for the equation are established.
Citation
Guo, Yunxi and Lai, Shaoyong and Wu, Yonghong. 2012. On existence and uniqueness of the global weak solution for a shallow water equation. Applied Mathematics and Computations. 218 (23): pp. 11410-11420.
Source Title
Applied Mathematics and Computations
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