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Energy Scattering for the Generalized Davey—Stewartson Equations
引用本文:Cheng-chun HaoAcademy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China. Energy Scattering for the Generalized Davey—Stewartson Equations[J]. 应用数学学报(英文版), 2003, 19(2): 333-340. DOI: 10.1007/s10255-003-0108-0
作者姓名:Cheng-chun HaoAcademy of Mathematics and System Sciences  Chinese Academy of Sciences  Beijing 100080  China
作者单位:Cheng-chun HaoAcademy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China
摘    要:Abstract Considring the generalized Davey-Stewartson equation i-△u+λ│u│~pu+μE(│u│~q)│u│~(q-2)u=0,where λ>0,μ≥0,E=F~(-1)(ξ_1~2│ξ│~2)F,we obtain the existence of scattering operator in ∑(R~n):u{u∈H~1(R~n):│x│u∈L~2(R~n)}.

关 键 词:广义Davey-Stewartson方程 能量散射 伪保形不变守恒律 散射子 存在性 积分方程 解

Energy Scattering for the Generalized Davey-Stewartson Equations
Cheng-chun?HaoEmail author. Energy Scattering for the Generalized Davey-Stewartson Equations[J]. Acta Mathematicae Applicatae Sinica, 2003, 19(2): 333-340. DOI: 10.1007/s10255-003-0108-0
Authors:Cheng-chun?Hao  author-information"  >  author-information__contact u-icon-before"  >  mailto:hcc@mail.amss.ac.cn"   title="  hcc@mail.amss.ac.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (E-mail: hcc@mail.amss.ac.cn), CN
Abstract:Considering the generalized Davey-Stewartson equation iu where E = , we obtain the existence of scattering operator in
Keywords:Generalized Davey-Stewartson equation   pseudo conformally invariant conservation law   scattering operator
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