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

作　　者：王保祥 郭柏灵 

出　　处：《Science China Mathematics》2001年第8期994-1002,共9页中国科学：数学（英文版）

基　　金：the National Natural Science Foundation of China (Grant Nos. 19901007 and 19871020).

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.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.

关 键 词：Davey-Stewartson systems Initial value problem Scattering operators Hs-solutions 

分 类 号：O175[理学—数学]