Scattering Problem for Klein–Gordon Equation with Cubic Convolution Nonlinearity  

作　　者：Ru Ying XUE 

机构地区：[1]Department of Mathematics, Zhejiang University

出　　处：《Acta Mathematica Sinica,English Series》2014年第5期827-836,共10页数学学报（英文版）

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

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.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.

关 键 词：Asymptotic of solution Klein–Gordon equation scattering operator 

分 类 号：O175[理学—数学]