Energy Scattering of a Generalized Davey-Stewartson System in Three Dimension

In this paper, we study the global scattering result of the solution for the generalized Davey-Stewartson system The main difficulties are the failure of the interaction Morawetz estimate and the asymmetrical structure of nonlinearity （in particular, the nonlinearity is non-local）. To compensate, we...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2017-09, Vol.33 (9), p.1206-1224
Main Authors: Lu, Jing, Tang, Xing Dong
Format: Article
Language:English
Subjects:
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Scattering
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Summary:In this paper, we study the global scattering result of the solution for the generalized Davey-Stewartson system The main difficulties are the failure of the interaction Morawetz estimate and the asymmetrical structure of nonlinearity （in particular, the nonlinearity is non-local）. To compensate, we utilize the strategy derived from concentration-compactness idea, which was first introduced by Kenig and Merle .
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-017-6301-5