Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity
Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity
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DOI：
10.3934/dcds.2006.15.973
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发表时间：
2006-04
影响因子：
2
通讯作者：
Hironobu Sasaki
中科院分区：
文献类型：
--
作者：
Hironobu Sasaki
本文研究具有立方卷积非线性项的KleinGordon方程的散射问题。给出了非线性项的估计，证明了散射算子的存在性，在一定意义上改进了已有的结果。我们的证明是基于非齐次Klein-Gordon方程的Schlichartz估计。
We consider the scattering problem for the KleinGordon equation with cubic convolution nonlinearity. We give some estimates for the nonlinearity, and prove the existence of the scattering operator, which improves the known results in some sense. Our proof is based on the Strichartz estimates for the inhomogeneous Klein-Gordon equation.