On existence and uniqueness of the global weak solution for a shallow water equation
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Authors
Guo, Y.
Lai, S.
Wu, Yong Hong
Date
2012Type
Journal Article
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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.
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Applied Mathematics and Computations
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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.
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