On the asymptotics of the statistical Solutions of wave equation with variable coefficients

Abstract

In the paper we consider the ID wave equation with variable coefficients. Assume the initial date be a random process with mixing. The asymptotics of the solution as t -> OO is investigated in dependence on the behaviour of coefficients.

On invariance principle for the Stochastic wave equation

“…The similar problems with a(x) = const have been studied in [4]. The central limit theorem for the initial value problem (1.!…”

“…The central limit theorem for the initial value problem (1.! )-(!.2) with random initial date and nonrandom function a(x) have been studied in [1].…”