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

页码：994 / 1002

页数：8

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