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LOCAL AND GLOBAL WELL-POSEDNESS OF THE INITIAL VALUE PROBLEM FOR THE HIROTA-SATSUMA SYSTEM
关于Hirota-Satsuma系统初值问题的局部和整体适定性

Keywords: KDV equation,smoothing effect,well-posedness
KDV方程
,光滑效应,适定性

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Abstract:

in this paper, we study the local and global well-posedness of the initialvalue problem for the Hirota-Satsuma system by combining several estimates concerning theassociated linear problem with the contraction principle.

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