Skip to main content
Springer Nature Link
Log in

Asymptotic approximation of solution of boundary-value problem for singularly disturbed parabolic equation in the critical case

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+
from $39.99 /Month
  • Starting from 10 chapters or articles per month
  • Access and download chapters and articles from more than 300k books and 2,500 journals
  • Cancel anytime
View plans

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. A. B. Vasil'eva and V. F. Butuzov, Singularly Disturbed Equations in Critical Cases [in Russian], Moscow State Univ. (1978).

  2. T. N. Sysoeva, “On a singularly disturbed first-order partial differential system,” Vestn. Mosk. Gos. Univ., Ser. Mat. Mekh., No. 1, 37–41 (1983).

    Google Scholar 

  3. V. F. Butuzov and V. M. Mamonov, “Singularly disturbed boundary-value problem of elliptic type in critical case,” Differents. Uravn.,18, No. 6, 1056–1061 (1982).

    Google Scholar 

  4. V. F. Butuzov and A. G. Nikitin, “Singularly disturbed elliptic boundary-value problem in rectangle in critical case,” Zh. Vychisl. Mat. Mat. Fiz.,24, No. 9, 1320–1330 (1984).

    Google Scholar 

  5. P. R. Gantmakher, Theory of Matrices [in German], Chelsea Publ.

  6. V. F. Butuzov, “Asymptotic behavior of solutions of some model problems of chemical kinetics in the context of diffusion,” Dokl. Akad. Nauk SSSR,242, No, 268–271 (1978).

    Google Scholar 

  7. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Am. Math. Soc. (1968).

  8. V. F. Butuzov, “Singularly disturbed boundary value problems with angular boundary layer,” Dissertation, Moscow (1979).

Download references

Author information

Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    V. F. Butuzov & L. V. Kalachev

Authors
  1. V. F. Butuzov
    View author publications

    Search author on:PubMed Google Scholar

  2. L. V. Kalachev
    View author publications

    Search author on:PubMed Google Scholar

Additional information

Translated from Matematicheskii Zametki, Vol. 39, No. 6, pp. 819–830, June, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Butuzov, V.F., Kalachev, L.V. Asymptotic approximation of solution of boundary-value problem for singularly disturbed parabolic equation in the critical case. Mathematical Notes of the Academy of Sciences of the USSR 39, 445–451 (1986). https://doi.org/10.1007/BF01157029

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01157029

Keywords