数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 257-268.doi: 10.1016/S0252-9602(10)60043-4

• 论文 • 上一篇    下一篇

WHITE NOISE APPROACH TO SCATTERING SOLUTION OF Φ44 WAVE EQUATION

让光林   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China
  • 收稿日期:2006-12-19 修回日期:2008-01-30 出版日期:2010-01-20 发布日期:2010-01-20
  • 基金资助:

    This work was supported by NSFC (10401011, 10871153)  and by China Postdoctoral Science Foundation  (2005037660).

WHITE NOISE APPROACH TO SCATTERING SOLUTION OF Φ44 WAVE EQUATION

 RANG Guang-Lin   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China
  • Received:2006-12-19 Revised:2008-01-30 Online:2010-01-20 Published:2010-01-20
  • Supported by:

    This work was supported by NSFC (10401011, 10871153)  and by China Postdoctoral Science Foundation  (2005037660).

摘要:

Under the framework of white noise analysis, the existence of scattering solutions to the abstract dynamical φ44 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 (Poincar\'{e} invariance and irreducibility) of the solutions are discussed.

关键词: white noise analysis, generalized operators,  φ44 scattering solutions

Abstract:

Under the framework of white noise analysis, the existence of scattering solutions to the abstract dynamical φ44 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 (Poincar\'{e} invariance and irreducibility) of the solutions are discussed.

Key words: white noise analysis, generalized operators,  φ44 scattering solutions

中图分类号: 

  • 60H40