| WHITE NOISE APPROACH TO SCATTERING SOLUTION OF Φ_4～4 WAVE EQUATIONS |
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| 引用本文： | 让光林.WHITE NOISE APPROACH TO SCATTERING SOLUTION OF Φ_4～4 WAVE EQUATIONS[J].数学物理学报(B辑英文版),2010,30(1):257-268. |
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| 作者姓名： | 让光林 |
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| 作者单位： | Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China |
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| 基金项目： | supported by NSFC (10401011,10871153); China Postdoctoral Science Foundation (2005037660) |
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| 摘 要： | Under the framework of white noise analysis,the existence of scattering solutions to the abstract dynamical Ф_4～4 wave equations in terms of generalized operators(see Section 3 below) is proven via a combination of the characterization for the symbol of generalized operators and the classical scattering results.In addition,some properties(Poincaréinvariance and irreducibility) of the solutions are discussed.
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| 关 键 词： | 白噪声分析 散射 波动方程 溶液 解的存在性 经营者 波方程 还原性 |
| 收稿时间： | 19 December 2006 |
| 修稿时间： | 30 January 2008 |
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