Gaussian limiting behavior of the rescaled solution to the linear Korteweg-de Vries equation with random initial conditions (Q1581690)

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scientific article; zbMATH DE number 1514677
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Gaussian limiting behavior of the rescaled solution to the linear Korteweg-de Vries equation with random initial conditions
scientific article; zbMATH DE number 1514677

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    Gaussian limiting behavior of the rescaled solution to the linear Korteweg-de Vries equation with random initial conditions (English)
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    8 October 2000
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    This paper presents solutions of linear KdV equation with weakly dependent random initial conditions. It proves limit theorems for nonlinear transformations of associated Gaussian random fields.
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    KdV equation
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    Gaussian processes
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    covariance function
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