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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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  • 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:
    1. Krupski M., “Convection-Diffusion Equations With Random Initial Conditions”, J. Math. Anal. Appl., 470:2 (2019), 1194–1221  crossref  mathscinet  zmath  isi  scopus
    2. V. P. Demichev, “A Central Limit Theorem for Integrals with Respect to Random Measures”, Math. Notes, 95:2 (2014), 193–203  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    3. V. P. Demichev, “Functional limit theorem for solutions to Burgers equation with random initial data”, Moscow University Mathematics Bulletin, 68:2 (2013), 107–110  mathnet  crossref  mathscinet
    4. Nikolai N. Leonenko, M. Dolores Ruiz-Medina, Lecture Notes in Statistics, 207, Advances and Challenges in Space-time Modelling of Natural Events, 2012, 165  crossref
    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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