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

• 作 者: 王保祥 郭柏灵
• 机 构: Departnent of Mathematics,Institute of Applied Physics and Computational Mathematics
• 出 处: 中国科学A辑
• 发表日期: 2004年期
• 关键词: Davey-Stewartson systems initial value problem scattering operators Hs-solutions

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.