N-order moment function for the solution of the Cauchy problem for diffusion equation with random coefficients
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 5-20 Cet article a éte moissonné depuis la source Math-Net.Ru

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Formula for n-order moment function for the solution of the Cauchy problem for three-dimensional diffusion equation with random coefficients and random initial condition is derived.
Mots-clés : diffusion equation
Keywords: random processes, moment function, characteristic functional, variational derivative.
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T. V. Besedina. N-order moment function for the solution of the Cauchy problem for diffusion equation with random coefficients. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 5-20. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a0/

[1] Zadorozhnii V. G., Metody variatsionnogo analiza, NITs “Regulyarnaya i khaoticheskaya dinamika”, Institut kompyuternykh issledovanii, M.–Izhevsk, 2006, 316 pp.

[2] Zadorozhnii V. G., “O nakhozhdenii momentnykh funktsii resheniya zadachi Koshi uravneniya diffuzii so sluchainymi koeffitsientami”, Izvestiya AN RAN. Ser. matematicheskaya, 66:4 (2002), 119–136 | DOI | MR | Zbl

[3] Stroeva L. N., “Momentnaya funktsiya N-go poryadka resheniya lineinogo differentsialnogo uravneniya pervogo poryadka v chastnykh proizvodnykh so sluchainymi koeffitsientami”, Vestnik fakulteta prikladnoi matematiki, informatiki i mekhaniki VGU, 2002, no. 3, 193–208

[4] Besedina T. V., Zadorozhnii V. G., “O trekhmernom stokhasticheskom uravnenii diffuzii”, International Scientific Journal “Spectral and evolution problems”, 2009, no. 19, 13–20

[5] Besedina T. V., Zadorozhnii V. G., “Momentnye funktsii resheniya uravneniya perenosa i diffuzii”, Vestnik VGU. Ser. Fizika. Matematika, 2010, no. 2, 15–25

[6] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1979, 320 pp. | MR