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Scattering Problem for Klein–Gordon Equation with Cubic Convolution Nonlinearity

Scattering Problem for Klein–Gordon Equation with Cubic Convolution Nonlinearity

作     者:Ru Ying XUE 

作者机构:Department of Mathematics Zhejiang University 

出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期:2014年第30卷第5期

页      面:827-836页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Supported by Natural Science Foundation of China(Grant No.10931007) Zhejiang Provincial NaturalScience Foundation of China(Grant No.Y6090158) 

主  题:Asymptotic of solution Klein–Gordon equation scattering operator 

摘      要:The scattering problem for the Klein–Gordon equation with cubic convolution nonlinearity is considered. Based on the Strichartz estimates for the inhomogeneous Klein–Gordon equation, we prove the existence of the scattering operator, which improves the known results in some sense.

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