On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems

被引:17
作者
Wang B. [1 ]
Guo B. [2 ]
机构
[1] Department of Mathematics, Hebei University
[2] Inst. Appl. Phys. and Compl. Math.
来源
Science in China Series A: Mathematics | 2001年 / 44卷 / 8期
关键词
Davey-Stewartson systems; H[!sup]s[!/sup]-solutions; Initial value problem; Scattering operators;
D O I
10.1007/BF02878975
中图分类号
学科分类号
摘要
We study the initial value problem of the Davey-Stewartson systems for the elliptic-elliptic and hyperbolic-elliptic cases. The local and global existence and uniqueness of solutions in Hs is shown. Also, we prove that the scattering operator carries a band in Hs into Hs.
引用
收藏
页码:994 / 1002
页数:8
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