Skip to main content
SpringerLink
Log in

Estimates for t→∞ of the solutions to a problem of Sobolev

  • Published:
Siberian Mathematical Journal 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

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

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. S. L. Sobolev, “On a new problem in mathematical physics,” Izv. Akad. Nauk SSSR, Ser. Mat.,18, No. 1, 3–50 (1954).

    Google Scholar 

  2. T. I. Zelenyak and V. P. Mikhailov, “Asymptotic behavior for t→∞ of the solutions of certain boundary-value problems of mathematical physics,” in: Differential Equations: Proceedings of a Symposium [in Russian], Nauka, Moscow (1970), pp. 96–118.

    Google Scholar 

  3. A. A. Dezin, T. I. Zelenyak, and V. N. Maslennikova, “On come mathematical problems in hydrodynamics,” in: Partial Differential Equations: Conference Proceedings [in Russian], Nauka, Novosibirsk (1980), pp. 21–31.

    Google Scholar 

  4. T. I. Zelenyak, Selected Problems in the Qualitative Theory of Partial Differential Equations [in Russian], Novosibirsk State Univ. (1970).

  5. B. V. Kapitonov, “Theory of potentials for the equations of small oscillations of a rotating fluid,” Mat. Sb.,109, No. 4, 607–628 (1979).

    Google Scholar 

  6. V. V. Skazka, “Asymptotics for t→∞ of mixed problems for a certain equation of mathematical physics,” Sib. Mat. Zh.,22, No. 1, 129–143 (1981).

    Google Scholar 

  7. S. V. Uspenskii and G. V. Demidenko, “On mixed boundary-value problems for a class of equations which cannot be resolved with respect to the highest order derivative,” in: Partial Differential Equations: Proceedings of Academician S. L. Sobolev's Seminar, Vol. 2 [in Russian], Inst. Math., Siberian Branch, Academy of Sciences of the USSR (1980), pp. 92–115.

  8. V. N. Maslennikova, “Explicit representations and a priori estimates of solutions to boundary-value problems for the Sobolev equation,” Sib. Mat. Zh.,9, No. 5, 1182–1198 (1968).

    Google Scholar 

  9. H. Tribel, Interpolation Theory, Function Spaces, Differential Operators, Veb Deutscher Verlag der Wissenschaften, Berlin (1978).

    Google Scholar 

Download references

Authors
  1. G. V. Demidenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 2, pp. 112–120, March–April, 1984

Rights and permissions

Reprints and permissions

About this article

Cite this article

Demidenko, G.V. Estimates for t→∞ of the solutions to a problem of Sobolev. Sib Math J 25, 257–264 (1984). https://doi.org/10.1007/BF00971463

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00971463

Search

Navigation