Abstract

is known to be a generalized stochastic process in space dimensions n ~ 2, that is, its sample paths are distributions on jRn+l. It is possible to construct solutions to the nonlinear wave equation (1.1) as Colombeau-type generalized stochastic processes [1, 18]. For various types of nonlinearities F, white noise calculus is applicable as well [7, 9, 11, 15]. We are concerned here with the limiting behavior of regularized solutions

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