Skip to main content
SpringerLink
Log in

Green's function for general inhomogeneous boundary-value problems for systems that are elliptic in the sense of Douglis-Nirenberg

  • 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

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. V. A. Solonnikov, “On Green's matrices for elliptic boundary problems. 1,” Tr. Mat. Inst. Akad. Nauk SSSR,110, 109–145 (1970).

    Google Scholar 

  2. V. A. Solonnikov, “On Green's matrices for elliptic boundary problems. 2,” Tr. Mat. Inst. Akad. Nauk SSSR,116, 181–216 (1971).

    Google Scholar 

  3. Yu. M. Berezanskii and Ya. A. Roitberg, “A theorem on homeomorphisms and Green's functions for general elliptic boundary problems,” Ukr. Mat. Zh.,19, No. 5, 3–32 (1967).

    Google Scholar 

  4. I. A. Kovalenko and Ya. A. Roitberg, “On Green's functions for general elliptic boundary problems with pseudodifferential boundary conditions,” Ukr. Mat. Zh.,23, No. 6, 772–777 (1971).

    Google Scholar 

  5. I. A. Kovalenko and Ya. A. Roitberg, “On boundary values of generalized solutions of elliptic systems,” Ukr. Mat. Zh.,27, No. 3, 308–319 (1975).

    Google Scholar 

  6. Ya. A. Roitberg, “A theorem on complete collections of isomorphisms for systems, elliptic in the sense of Douglis-Nirenberg,” Ukr. Mat. Zh.,27, No. 4, 544–553 (1975).

    Google Scholar 

  7. E. Hille and R. S. Phillips, Functional Analysis and Semigroups, Amer. Math. Soc. (1974).

  8. Yu. M. Berezanskii, Expansions in Eigenfunctions of Selfadjoint Operators, Amer. Math. Soc. (1968).

Download references

Author information

Authors and Affiliations

  1. Chernigov Pedagogic Institute, USSR

    I. A. Kovalenko, Ya. A. Roitberg & Z. G. Sheftel'

Authors
  1. I. A. Kovalenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ya. A. Roitberg
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Z. G. Sheftel'
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 5, pp. 664–668, September–October, 1978.

The author express profound thanks to Yu. M. Berezanskii for a discussion of the result.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kovalenko, I.A., Roitberg, Y.A. & Sheftel', Z.G. Green's function for general inhomogeneous boundary-value problems for systems that are elliptic in the sense of Douglis-Nirenberg. Ukr Math J 30, 508–511 (1978). https://doi.org/10.1007/BF01094855

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01094855

Search

Navigation