Acta mathematica scientia, Series B >
WHITE NOISE APPROACH TO SCATTERING SOLUTION OF Φ44 WAVE EQUATION
Received date: 2006-12-19
Revised date: 2008-01-30
Online published: 2010-01-20
Supported by
This work was supported by NSFC (10401011, 10871153) and by China Postdoctoral Science Foundation (2005037660).
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.
RANG Guang-Lin . WHITE NOISE APPROACH TO SCATTERING SOLUTION OF Φ44 WAVE EQUATION[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 257 -268 . DOI: 10.1016/S0252-9602(10)60043-4
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