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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 3, Pages 427–448
DOI: https://doi.org/10.4213/tvp3894 (Mi tvp3894) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A Functional Central Limit Theorem for Transformed Solutions of the Multidimensional Burgers Equation with Random Initial Data

Yu. Yu. Bakhtin

M. V. Lomonosov Moscow State University
Full-text PDF (1987 kB) Citations (4)
DOI: https://doi.org/10.4213/tvp3894
Abstract: This paper states the convergence in distribution in some functional space to the Gaussian field with explicitly calculated parameters for transformed solutions of the multidimensional Burgers equation with initial conditions given by the associated random measure. Auxiliary moment and maximal inequalities obtained in the paper are of interest in themselves.
Keywords: nonlinear diffusion, associated random variables, moment inequalities, maximal inequalities.
Received: 21.02.2000
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 3, Pages 387–405
DOI: https://doi.org/10.1137/S0040585X97979068
Bibliographic databases:
Language: Russian
Citation: Yu. Yu. Bakhtin, “A Functional Central Limit Theorem for Transformed Solutions of the Multidimensional Burgers Equation with Random Initial Data”, Teor. Veroyatnost. i Primenen., 46:3 (2001), 427–448; Theory Probab. Appl., 46:3 (2002), 387–405
Citation in format AMSBIB
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\paper A Functional Central Limit Theorem for Transformed Solutions of the Multidimensional Burgers Equation with Random Initial Data
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\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 3
\pages 387--405
\crossref{https://doi.org/10.1137/S0040585X97979068}
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  • https://www.mathnet.ru/eng/tvp3894
  • https://doi.org/10.4213/tvp3894
  • https://www.mathnet.ru/eng/tvp/v46/i3/p427
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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