Skip to main content
Log in

On a self-adjoint operator associated with elliptic problems with a spectral parameter in the boundary conditions

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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. V. V. Barkovskii and Ya. A. Roitberg, “The minimal and maximal operators corresponding to the general elliptical problem with inhomogeneous boundary conditions, ” Ukr. Matem. Zh.,18, No. 2, (1966).

  2. Yu. M. Berezanskii, Eigenfunction Expansion of Self-Adjoint Operators [in Russian], Naukova Dumka, Kiev (1965).

    Google Scholar 

  3. Ya. A. Roitberg, “Elliptical problems with inhomogeneous boundary conditions and a local rise in smoothness down to the boundary of generalized solutions, ” Dokl. Akad. Nauk SSSR,157, No. 4 (1964).

  4. V. V. Barkovskii, “The Green's function of a self-adjoint elliptical operator generated by a differential expression and inhomogeneous boundary conditions, ” Ukr. Matem. Zh.,18, No. 2 (1966).

  5. M. S. Agranovich, “Elliptical singular integrodifferential operators,” Usp. Matem. Nauk,20, No. (1965).

  6. S. O. Rushitskaya, “Theorem on homeomorphisms for an elliptical differential expression and pseudodifferential boundary conditions, ” Ukr. Matem. Zh.,21, No. 2 (1969).

  7. J. Odnoff, Operators Generated by Differential Problems with Eigenvalue Parameter in Equation and Boundary Condition, Lund (1959).

  8. J. Ercolano and M. Schechter, “Spectral theory for operators generated by elliptic boundary problems, ” Comm. Pure and Appl. Math.,18, No. 1–2 (1965).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 6, pp. 846–851, November–December, 1972.

The author is deeply grateful to Yu. M. Berezanskii for formulating the problem and for his attention to the research.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tyutyunnik, L.I. On a self-adjoint operator associated with elliptic problems with a spectral parameter in the boundary conditions. Ukr Math J 24, 682–686 (1972). https://doi.org/10.1007/BF01085424

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085424

Keywords

Navigation