Skip to main content
SpringerLink
Log in

Some problems for an equation of mixed type with two parabolic lines

  • 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

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. A. V. Bitsadze. “Some Problems of Mixed Type,” Dokl. AN SSSR,70 No. 4 561–564 (1950).

    Google Scholar 

  2. F. I. Frankl', “Problems of S. A. Chaplygin for Mixed to Supersonic Flows,” Izv. Ak. N uk SSSR, Ser. Matem.,9, No. 2, 121–143 (1945).

    Google Scholar 

  3. F. Tricozni Lectures on Partial Differential Equations, [Russian translation], IL, Moscow (1957).

    Google Scholar 

  4. F. I. Frankl', “Theory of Laval Jets,” Izv. Akad. Nauk. SSSR. Ser. Matem.,9, No. 5, 387–422 (1945).

    Google Scholar 

  5. A. V. Bitsadze, “Equations of Mixed Type,” Izd. AN SSSR, Moscow (1959).

    Google Scholar 

  6. S. Gellerstedt, Sur un Problème aux Limites pour une Équation Linéaire aux Dérivées Partielles du Second Ordre de Type Mixte These Uppsala (1935).

  7. P. Appel and M. T. Kampé de Fériet, Fonctions Hypergéométriques et Hypersphériques. Polynômes d'Hermite, Gauthier-Villars (1926).

  8. N. N. Lebedev, Special Functions and Their Applications. Fizmatgiz, Moscow-Leningrad (1963).

    Google Scholar 

  9. S. Gellerstedt, Sur un Problème aux Limites pour L'équation y2SZxx+Zyy=0, Arkiv. Matem. Astr. Fis.,25A, No. 10, pp. 1–12 (1936).

    Google Scholar 

  10. 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.” Comm. Pure Appl. Math.,6, No. 4, 455–470 (1953).

    Google Scholar 

  11. M. Protter, “An Existence Theorem for the Generalized Tricomi Problem.” Duke Math. J.21, No. 1, 1–7 (1954).

    Google Scholar 

  12. K. I. Babenko, “Theory of Equations of Mixed Type.” Doctoral Dissertation. Matem. Inst. AN SSSR (1952).

  13. F. Goursat. Course of Mathematical Analysis [Russian translation],3, part 2. GTTI, Moscow (1938).

    Google Scholar 

  14. S. Gellerstedt, Quelques Problèmes Mixtes pour L'équation ymZxx+Zyy=0, Arkiv. Math. Astr. Fis.,20A, No. 3, pp. 1–32 (1937).

    Google Scholar 

Download references

Authors
  1. A. M. Nakhyshev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 8, No. 1, pp. 19–48, January–February, 1967.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nakhyshev, A.M. Some problems for an equation of mixed type with two parabolic lines. Sib Math J 8, 13–34 (1967). https://doi.org/10.1007/BF01040569

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01040569

Keywords

Search

Navigation