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Scattering Problem for Klein–Gordon Equation with Cubic Convolution Nonlinearity

Scattering Problem for Klein–Gordon Equation with Cubic Convolution Nonlinearity
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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.
作者 Ru Ying XUE Ru Ying XUE;Department of Mathematics, Zhejiang University;
出处 《数学学报:英文版》 SCIE CSCD 2014年第5期827-836,共10页 Acta Mathematica Sinica
基金 Supported by Natural Science Foundation of China(Grant No.10931007) Zhejiang Provincial NaturalScience Foundation of China(Grant No.Y6090158)
关键词 散射问题 三次卷积 非线性 方程 散射算子 不均匀 估计 Asymptotic of solution,Klein–Gordon equation,scattering operator
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参考文献8

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