Asymptotic normality of statistical solutions of the wave equation (Q1073260)

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scientific article; zbMATH DE number 3944394
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Asymptotic normality of statistical solutions of the wave equation
scientific article; zbMATH DE number 3944394

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    Asymptotic normality of statistical solutions of the wave equation (English)
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    1985
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    It is proved that the statistical solution of the initial value problem for the wave equation converges weakly to some Gaussian homogeneous measure as \(t\to \infty\). In contrary to another paper [see the following review] the space variable varies in \(R^ n\) (n\(\geq 3)\) and the initial function is not equal to zero identically.
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    limit theorem
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    statistical solution
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    initial value problem
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    wave equation
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