Skip to main content
Log in

Perturbations of solutions of the sinorini problem for a second-order scalar equation

  • 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

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

Instant access to the full article PDF.

Literature cited

  1. J.-L. Lions, Certain Methods for the Solution of Nonlinear Boundary-Value Problems [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  2. S. G. Mikhlin, Errors of Computational Methods [in Russian], Tbilisi State Univ. (1983).

  3. V. A. Kondrat'ev, “Boundary-value problems for elliptic equations in domains with conical or angular points,” Tr. Mosk. Mat. Obshch.,l6, 209–292 (1967).

    Google Scholar 

  4. V. G. Maz'ya and B. A. Plamenevskii, “On the coefficients in the asymptotic of solutions of elliptic boundary-value problems in a domain with conical points [in Russian], Math. Nachr.,76, 29–60 (1977).

    Google Scholar 

  5. V. G. Maz'ya and B. A. Plamenevskii, “On elliptic boundary-value problems in domains with piecewise smooth boundary,” in: Proceedings of the Symposium on Mechanics of Continuous Media and Related Problems of Analysis [in Russian], Vol. 1, Tbilisi (1973).

  6. V. G. Maz'ya and B. A. Plamenevskii, “On the coefficients in the asymptotic of solutions of elliptic boundary-value problems near the edge,” Dokl. Akad. Nauk SSSR,229, No. 1, 33–35 (1976).

    Google Scholar 

  7. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, Berlin-New York (1966).

    Google Scholar 

  8. A. M. Il'in, “Boundary-value problems for an elliptic equation of second order in a domain with a gap. A domain with a small aperture,” Mat. Sb.,103, No. 2, 265–284 (1977).

    Google Scholar 

  9. V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii, Asymptotic of Solutions of Elliptic Boundary-Value Problems for Singular Perturbations of the Domain [in Russian], Tbilisi State Univ. (1981).

  10. S. A. Nazarov and Yu. A. Romashev, “Variation of the intensity coefficient under destruction of the jumper between two colinear fissures,” Izv. Akad. Nauk ArmSSR, Mekh., No. 4, 30–40 (1982).

    Google Scholar 

  11. M. V. Fedoryuk, “Asymptotic of solution of the Dirichlet problem for the Helmholtz and Laplace equation in the exterior of a finite cylinder,” Izv. Akad. Nauk SSSR, Ser. Mat.,45, 167–186 (1981).

    Google Scholar 

  12. V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii, “Asymptotic of solutions of the Dirichlet problem in a domain with a cut-out fine tube,” Mat. Sb.,116, No. 2, 187–217 (1981).

    Google Scholar 

  13. S. A. Nazarov and M. V. Paukshto, Discrete Models and Averaging in Theory of Elasticity [in Russian], Leningrad State Univ. (1984).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 47, No. 1, pp. 115–126, January, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nazarov, S.A. Perturbations of solutions of the sinorini problem for a second-order scalar equation. Mathematical Notes of the Academy of Sciences of the USSR 47, 75–82 (1990). https://doi.org/10.1007/BF01157288

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01157288

Keywords

Navigation