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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 2, Pages 387–403 (Mi tvp3484)  
This article is cited in 11 scientific papers (total in 11 papers)

Limit theorems for solutions of the Burgers equation with Gaussian and non-Gaussian initial conditions

N. Leonenkoa, E. Orsingherb

a University of Kiev, Kiev, Ukraine
b University of Rome ``La Sapienza'', Italy
Full-text PDF (2362 kB) Citations (11)
Abstract: In this paper we present the asymptotic distributions of solutions to initial-value problems for the Burgers equation when the initial condition is either a Gaussian stationary process or a one-degree chi-square process with a long-range dependence.
Keywords: Hermite expansion, long-range-dependence, multiple stochastic integrals, nonlinear partial differential equations.
Received: 25.02.1992
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 2, Pages 294–308
DOI: https://doi.org/10.1137/1140032
Bibliographic databases:
Language: English
Citation: N. Leonenko, E. Orsingher, “Limit theorems for solutions of the Burgers equation with Gaussian and non-Gaussian initial conditions”, Teor. Veroyatnost. i Primenen., 40:2 (1995), 387–403; Theory Probab. Appl., 40:2 (1995), 294–308
Citation in format AMSBIB
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\by N.~Leonenko, E.~Orsingher
\paper Limit theorems for solutions of the Burgers equation with Gaussian and non-Gaussian initial conditions
\jour Teor. Veroyatnost. i Primenen.
\yr 1995
\vol 40
\issue 2
\pages 387--403
\mathnet{http://mi.mathnet.ru/tvp3484}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1346474}
\zmath{https://zbmath.org/?q=an:0853.35139}
\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 2
\pages 294--308
\crossref{https://doi.org/10.1137/1140032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VE35900009}
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  • https://www.mathnet.ru/eng/tvp/v40/i2/p387
    • This publication is cited in the following 11 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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