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Averaging in perforated random domains of general type

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References

  1. E. Ya. Khruslov, “Asymptotic behavior of solutions of the second boundary value problem in the case of the refinement of the domain boundary,” Mat. Sborn.,106, 604–621 (1978).

    Google Scholar 

  2. D. Cioranescu and J. Saint-Jean-Paulin, “Homogenization in open sets with holes,” J. Math. Anal. Appl.,71, 590–607 (1979).

    Google Scholar 

  3. N. S. Bakhvalov and G. P. Panasenko, Averaging of Processes in Periodic Media [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  4. V. V. Zhikov, “Effective conductivity of random homogeneous sets,” Mat. Zametki,45, No. 4, 34–45 (1989).

    Google Scholar 

  5. I. Ekeland and R. Temam, Convex Analysis and Variational Problems [Russian translation], Mir, Moscow (1979).

    Google Scholar 

  6. P. Billingsley, Convergence of Probability Measures [Russian translation], Nauka, Moscow (1977).

    Google Scholar 

  7. H. Kesten, Percolation Theory for Mathematicians [Russian translation], Mir, Moscow (1986).

    Google Scholar 

  8. J. M. Hammersley, “Mesoadditive processes and the specific conductivity of lattices,” J. Appl. Probab.,25 A, 347–358 (1988).

    Google Scholar 

  9. V. V. Zhikov, “Asymptotic problems connected with the heat equation in perforated domains,” Mat. Sborn.,181, No. 1, 1283–1305 (1990).

    Google Scholar 

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Authors and Affiliations

  1. Vladimir Pedagogical Institute, USSR

    V. V. Zhikov

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  1. V. V. Zhikov
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Translated from Matematicheskie Zametki, Vol. 53, No. 1, pp. 41–58, January, 1993.

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Zhikov, V.V. Averaging in perforated random domains of general type. Math Notes 53, 30–42 (1993). https://doi.org/10.1007/BF01208520

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  • DOI: https://doi.org/10.1007/BF01208520

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