Skip to main content
Log in

Coefficients in the asymptotics of the solutions of elliptic boundary-value problems in a cone

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

The asymptotics near a conical point of the solution of an elliptic boundary-value problem contains linear combinations of the special solutions of the “model” homogeneous problem in the cone. One gives formulas for the coefficients of these linear combinations under the assumption that the domain is a cone.

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.

Similar content being viewed by others

Literature cited

  1. S. Agmon and L. Nirenberg, “Properties of solutions of ordinary differential equations in Banach space,” Comm. Pure Appl. Math.,16, 121–239 (1963).

    Google Scholar 

  2. V. A. Kondrat'ev, “Boundary-value problems for elliptic equations in domains with conical or angular points,” Tr. Mosk. Mat. Ova,16, 209–292 (1967).

    Google Scholar 

  3. V. G. Maz'ya and B. A. Plamenevskii, “On the coefficients in the asymptotics of the solutions of elliptic boundary-value problems near conical points,” Dokl. Akad. Nauk SSSR,219, 286–290 (1974).

    Google Scholar 

  4. J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, Springer-Verlag (1972).

  5. S. G. Krein and V. P. Trofimov, “On holomorphic operator functions of several variables,” Funkts. Anal. Prilozhen.,3, No. 4, 85–86 (1969).

    Google Scholar 

  6. V. P. Trofimov, “On the root subspaces of operators depending analytically on a parameter,” Mat. Issled.,3, No. 3, 117–125 (1968).

    Google Scholar 

Download references

Authors

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 52, pp. 110–127, 1975.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maz'ya, V.G., Plamenevskii, B.A. Coefficients in the asymptotics of the solutions of elliptic boundary-value problems in a cone. J Math Sci 9, 750–764 (1978). https://doi.org/10.1007/BF01085326

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085326

Keywords

Navigation