关于Hirota-Satsuma系统初值问题的局部和整体适定性

金小刚;孙方裕

系统科学与数学 ›› 1999, Vol. 19 ›› Issue (4) : 501-506.

PDF(243 KB)
PDF(243 KB)
系统科学与数学 ›› 1999, Vol. 19 ›› Issue (4) : 501-506. DOI: 10.12341/jssms09806
论文

关于Hirota-Satsuma系统初值问题的局部和整体适定性

    金小刚(1),孙方裕(2)
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LOCAL AND GLOBAL WELL-POSEDNESS OF THE INITIAL VALUE PROBLEM FOR THE HIROTA-SATSUMA SYSTEM

    Xiao Gang JIN(1),Fang Yu SN(2)
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摘要

本文利用KDV方程所对应的线性方程解所具有的光滑效应及压缩映像原理,得到了Hirota-Satsuma系统初值问题的局部和整体适定性结果.

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.

关键词

KDV方程 / 光滑效应 / 适定性

Key words

KDV equation / smoothing effect / well-posedness

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金小刚 , 孙方裕. 关于Hirota-Satsuma系统初值问题的局部和整体适定性. 系统科学与数学, 1999, 19(4): 501-506. https://doi.org/10.12341/jssms09806
Xiao Gang JIN , Fang Yu SN. LOCAL AND GLOBAL WELL-POSEDNESS OF THE INITIAL VALUE PROBLEM FOR THE HIROTA-SATSUMA SYSTEM. Journal of Systems Science and Mathematical Sciences, 1999, 19(4): 501-506 https://doi.org/10.12341/jssms09806
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