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Stochastic Differential Systems Filtering and Control pp 121–128Cite as

Homogeneization for equations with random coefficients

  • Fluctuations And Asymptotic Analysis Of Finite And Infinite Dimensional Systems
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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 69))

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References

  1. Yurinskii V.V. On homogeneization of non-divergent second-order equations with random coefficients. Sib. Math. J., 1982, v. 23, No 2, p. 176–188 (in Russian).

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  2. Papanicolaou G.C., Varadhan S.R.S. Diffusions with random coefficients. — In: Statistics and Probability Essays in Honour of C.R.Rao. Amsterdam-New-York. North Holland, 1982, p. 547–552.

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  3. Zhikov V.V., Sirazhudinov M.M. On G-compactness of a class of non-divergent elliptic operators of second order. Izv. AN SSSR, Ser. math., 1981, v. 45, No 4, p. 718–734 (in Russian).

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  4. Krylov N.V., Safonov M.V. A property of solutions of parabolic equations with measurable coefficients. Izv. AN SSSR, ser. math., 1980, v. 44, No 1, p. 161–175 (in Russian).

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  5. Krylov N.V. Controlled Processes of Diffusion Type, Moscow: "Nauka", 1977 (in Russian).

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Authors and Affiliations

  1. Institute of Mathematics Siberian Division of the USSR Academy of Sciences, Novosibirsk, 90, USSR

    V. V. Yurinskii

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  1. V. V. Yurinskii
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M. Metivier E. Pardoux

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© 1985 Springer-Verlag

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Yurinskii, V.V. (1985). Homogeneization for equations with random coefficients. In: Metivier, M., Pardoux, E. (eds) Stochastic Differential Systems Filtering and Control. Lecture Notes in Control and Information Sciences, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0005067

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  • DOI: https://doi.org/10.1007/BFb0005067

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15176-0

  • Online ISBN: 978-3-540-39253-8

  • eBook Packages: Springer Book Archive

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