Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (1): 257-268.doi: 10.1016/S0252-9602(10)60043-4

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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).

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

CLC Number: 

  • 60H40
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