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Izvestiya: Mathematics, 2010, Volume 74, Issue 6, Pages 1127–1154
DOI: https://doi.org/10.1070/IM2010v074n06ABEH002519 (Mi im2786) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Finding the moment functions of a solution of the two-dimensional diffusion equation with random coefficients

M. M. Borovikova, V. G. Zadorozhniy

Voronezh State University
English version PDF (351 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2010v074n06ABEH002519
Abstract: The problem of finding the moment functions of a solution of an initial-value problem with random coefficients for the two-dimensional diffusion equation reduces to a deterministic initial-value problem involving ordinary and variational derivatives. Formulae for the moment functions of a solution are obtained for uniformly distributed and for Gaussian random coefficients.
Keywords: diffusion equation, moment functions, variational derivative, equations with random coefficients.
Received: 02.04.2008
Revised: 12.11.2008
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2010, Volume 74, Issue 6, Pages 27–54
DOI: https://doi.org/10.4213/im2786
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
MSC: Primary 35R60; Secondary 58J65, 60H15, 76R50
Language: English
Original paper language: Russian
Citation: M. M. Borovikova, V. G. Zadorozhniy, “Finding the moment functions of a solution of the two-dimensional diffusion equation with random coefficients”, Izv. RAN. Ser. Mat., 74:6 (2010), 27–54; Izv. Math., 74:6 (2010), 1127–1154
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:206
    English version PDF:10
    References:64
    First page:24
     
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