Global periodic conservative solutions of a periodic modified two-component Camassa–Holm equation
Global periodic conservative solutions of a periodic modified two-component Camassa–Holm equation
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DOI：
10.1016/j.jfa.2011.04.015
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发表时间：
2011-09
影响因子：
1.7
通讯作者：
Wenke Tan;Z. Yin
中科院分区：
文献类型：
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作者：
Wenke Tan;Z. Yin
本文首先证明了周期修正的两分量Camassa-Holm方程Cauchy问题整体周期保守解的存在性。然后证明了这些连续依赖于初始数据的解构成一个半群。
In the paper, we first show the existence of global periodic conservative solutions to the Cauchy problem for a periodic modified two-component Camassa–Holm equation. Then we prove that these solutions, which depend continuously on the initial data, construct a semigroup.