Energy Scattering for the Generalized Davey—Stewartson Equations |
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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 |
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作者姓名: | Cheng-chun HaoAcademy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China |
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作者单位: | Cheng-chun HaoAcademy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China |
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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)}.
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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 |
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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 |
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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 |
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Affiliation: | (1) Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (E-mail: hcc@mail.amss.ac.cn), CN |
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Abstract: | Considering the generalized Davey-Stewartson equation iu where E = , we obtain the existence of scattering operator in |
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Keywords: | Generalized Davey-Stewartson equation pseudo conformally invariant conservation law scattering operator |
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