具有尖峰解的三分支Camassa-Holm系统的一种弱解的局部弱适定性

Weak well-posedness of the weak solution to a three-component Camassa-Holm system with peakons

研究一个带尖峰解的三分支Camassa-Holm系统一种弱解的局部弱适定性。利用流的技巧,在拉格朗日坐标系下,推得积分系统,通过证明它与原系统某一更弱的卷积形式等价来得到结论。

The weak well-posedness of the weak solution to a three-component Camassa-Holm system with peakons is studied. After using the technique of flow to get an integral system equivalent to the original one in weak sense under the Lagrange coordinates, the main results is accomplished.