Skip to main content
Log in

An extremum principle for a generalized solution of equations of hyperbolic and mixed type

  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. A. V. Bitsadze, “On some problems of mixed type,” Dokl. Akad. Nauk SSSR,70, No. 4, 561–565 (1950).

    Google Scholar 

  2. P. Germain and R. Bader, “Sur le probleme de Tricomi,” C. R. Acad. Sci., Paris,232, No. 6, 463–465 (1951).

    Google Scholar 

  3. K. I. Babenko, “On the theory of equations of mixed type,” Doctoral Dissertation in Physicomathematical Sciences, Moscow State Univ., Moscow (1951).

    Google Scholar 

  4. S. Agmon, L. Nirenberg, and M. Protter, “A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptic-hyperbolic type,” Commun. Pure Appl. Math.,6, No. 4, 455–470 (1953).

    Google Scholar 

  5. A. F. Fillippov, “On a difference method for solving the Tricomi problem,” Izv. Akad. Nauk SSSR, Ser. Mat.,21, No. 1, 73–88 (1957).

    Google Scholar 

  6. M. E. Lerner, “On a maximum principle for hyperbolic equations and its application to equations of mixed type,” Dokl. Akad. Nauk SSSR,177, No. 6, 1269–1272 (1967).

    Google Scholar 

  7. M. E. Lerner, “On an extremal property of solutions of a class of hyperbolic equations,” Dokl. Akad. Nauk SSSR,184, No. 6, 1281–1283 (1969).

    Google Scholar 

  8. L. I. Kovalenko, “On extremum principle for a generalized solution of an equation of mixed type with lower order terms,” Sib. Mat. Zh.,14, No. 1, 221–228 (1973).

    Google Scholar 

  9. L. I. Kovalenko, “Uniqueness of the generalized solution of the Tricomi problem,” Sib. Mat. Zh.,11, No. 6, 1291–1311 (1970).

    Google Scholar 

  10. M. M. Smirnov, Equations of Mixed Type [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  11. V. I. Smirnov, A Course of Higher Mathematics, Vol. 5, Pergamon Press.

Download references

Authors

Additional information

Moscow Physicotechnical Institute, Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 22, No. 1, pp. 100–110, January–February, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kovalenko, L.I. An extremum principle for a generalized solution of equations of hyperbolic and mixed type. Sib Math J 22, 73–81 (1981). https://doi.org/10.1007/BF00968202

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968202

Keywords

Navigation