Stabilization of the statistical solution of the parabolic equation

N. E. Ratanov; A. G. Shuhov; Yu M. Suhov

doi:10.1007/BF00047653

Stabilization of the statistical solution of the parabolic equation

N. E. Ratanov, A. G. Shuhov, Yu M. Suhov

Mathematics

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11 Scopus citations

Abstract

We study the convergence of the statistical solutions of the parabolic equation. Under some mixing condition (in the sense of Rosenblatt) for initial measure and natural assumptions on the coefficients of the equation we prove weak convergence to the Gaussian distribution. Similar results for the hyperbolic equations were obtained in [1-4].

Original language	English (US)
Pages (from-to)	103-115
Number of pages	13
Journal	Acta Applicandae Mathematicae
Volume	22
Issue number	1
DOIs	https://doi.org/10.1007/BF00047653
State	Published - Jan 1991

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1007/BF00047653

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title = "Stabilization of the statistical solution of the parabolic equation",

abstract = "We study the convergence of the statistical solutions of the parabolic equation. Under some mixing condition (in the sense of Rosenblatt) for initial measure and natural assumptions on the coefficients of the equation we prove weak convergence to the Gaussian distribution. Similar results for the hyperbolic equations were obtained in [1-4].",

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AU - Shuhov, A. G.

AU - Suhov, Yu M.

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N2 - We study the convergence of the statistical solutions of the parabolic equation. Under some mixing condition (in the sense of Rosenblatt) for initial measure and natural assumptions on the coefficients of the equation we prove weak convergence to the Gaussian distribution. Similar results for the hyperbolic equations were obtained in [1-4].

AB - We study the convergence of the statistical solutions of the parabolic equation. Under some mixing condition (in the sense of Rosenblatt) for initial measure and natural assumptions on the coefficients of the equation we prove weak convergence to the Gaussian distribution. Similar results for the hyperbolic equations were obtained in [1-4].

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Stabilization of the statistical solution of the parabolic equation

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