Advertisement

Siberian Mathematical Journal

, Volume 21, Issue 3, pp 470–482 | Cite as

Averaging an elliptic boundary-value problem with random coefficients

  • V. V. Yurinskii
Article

Keywords

Random Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    N. S. Bakhvalov, “Average characteristics of bodies with periodic structure,” Dokl. Akad. Nauk SSSR,218, No. 5, 1046–1048 (1974).Google Scholar
  2. 2.
    V. L. Berdichevskii, “Spatial averaging of periodic structures,” Dokl. Akad. Nauk SSSR,222, No. 3, 565–567 (1975).Google Scholar
  3. 3.
    A. Bensoussan, J. L. Lions, and G. Papanicolaou, “Sur quelques phenomenes asymptotiques stationnaires,” C. R. Acad. Sci. Paris, Ser. A,281, Nos. 2-3, 89–94 (1975).Google Scholar
  4. 4.
    S. M. Kozlov, “Averaging differential operators with almost periodic, rapidly oscillating coefficients,” Dokl. Akad. Nauk SSSR,236, No. 5, 1068–1071 (1977).Google Scholar
  5. 5.
    O. A. Ladyzhenskaya, Boundary Value Problems of Mathematical Physics, Plenum Publ. (1970).Google Scholar
  6. 6.
    V. P. Mikhailov, “On the Dirichlet problem for an elliptic equation of second order,” Diff. Uravn.,12, No. 10, 1877–1891 (1976).Google Scholar
  7. 7.
    I. I. Cikhman and A. V. Skorokhod, The Theory of Stochastic Processes, Halsted Press (1975).Google Scholar
  8. 8.
    I. A. Ibragimov and Yu. V. Linnik, Independent Quantities and Quantities Related in a Stationary Fashion [in Russian], Nauka, Moscow (1965).Google Scholar
  9. 9.
    O. A. Ladyzhenskaya and N. N. Uraltseva, Linear and Quasilinear Elliptic Equations, Academic Press (1968).Google Scholar
  10. 10.
    K. Moren, Methods of Hilbert Space [Russian translation], Mir, Moscow (1965).Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • V. V. Yurinskii

There are no affiliations available

Personalised recommendations