| 关于Hirota-Satsuma系统初值问题的局部和整体适定性 |
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| 引用本文： | 金小刚.关于Hirota-Satsuma系统初值问题的局部和整体适定性[J].系统科学与数学,1999,19(4):501-506. |
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| 作者姓名： | 金小刚 |
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| 作者单位： | 浙江大学西溪校区计算机系!杭州３１００２８(金小刚)，浙江大学西溪校区数学系!杭州３１００２８(孙方裕) |
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| 基金项目： | 浙江省自然科学基金，浙江省教委科研项目基金 |
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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．
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| 关 键 词： | KDV方程 光滑效应 适定性 |
LOCAL AND GLOBAL WELL-POSEDNESS OF THE INITIAL VALUE PROBLEM FOR THE HIROTA-SATSUMA SYSTEM |
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| Xiao Gang JIN,Fang Yu SN.LOCAL AND GLOBAL WELL-POSEDNESS OF THE INITIAL VALUE PROBLEM FOR THE HIROTA-SATSUMA SYSTEM[J].Journal of Systems Science and Mathematical Sciences,1999,19(4):501-506. |
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| Authors: | Xiao Gang JIN Fang Yu SN |
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| Institution: | (1)Department of Computer Science, Zhejiang University, Hangzhou 310028,P.R.China;(2)Department Of Mathematics, Zhejiang University, Hamphou 310028,P.R.China |
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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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| Keywords: | KDV equation smoothing effect well-posedness |
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