| Scattering Problem for Klein–Gordon Equation with Cubic Convolution Nonlinearity |
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| 基金项目： | Supported by Natural Science Foundation of China(Grant No.10931007);Zhejiang Provincial NaturalScience Foundation of China(Grant No.Y6090158) |
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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.
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| 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 |
Scattering problem for Klein-Gordon equation with cubic convolution nonlinearity |
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| Authors: | Ru Ying Xue |
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| Institution: | 1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, P. R. China
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| Abstract: | 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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| Keywords: | Asymptotic of solution Klein–Gordon equation scattering operator |
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