White noise approach to scattering solution of ϕ44 wave equations

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 (Poincaré invariance and irreducibility) of the solutions are discussed.