Stabilization of the statistical solution of the parabolic equation

N. E. Ratanov, A. G. Shuhov, Iouri M. Soukhov

Research output: Contribution to journalArticle

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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 languageEnglish (US)
Pages (from-to)103-115
Number of pages13
JournalActa Applicandae Mathematicae
Volume22
Issue number1
DOIs
StatePublished - Jan 1 1991

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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