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.
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页码：994 / 1002
页数：8
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