Skip to main content
Log in

Two boundary problems for multidimensional equations of mixed type degenerate on a circular cylinder

  • 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. A. M. Nakhushev, “On a problem of mixed type for the equation y(y-1) uxx + uyy=0,” Dokl. Akad. Nauk SSSR,166, No. 3 (1966).

  2. A. M. Nakhushev, “A boundary problem for equations of mixed type with two lines of degeneracy,” Dokl. Akad. Nauk SSSR,170, No. 1 (1966).

  3. L. M. Sibner, “A boundary value problem for an equation of mixed type having two transitions,” J. Differential Equations,4, No. 4 (1968).

  4. K. O. Friedrichs, “The identity of weak and strong extensions of differential operators,” Trans. Amer. Math. Soc.,55 (1944).

  5. K. O. Friedrichs, “Symmetrie positive linear differential equations,” Comm. Pure Appl. Math.,11, No. 3 (1958).

  6. P. D. Lax and R. S. Phillips, “Local boundary conditions for dissipative symmetric linear differential operators,” Comm. Pure Appl. Math.,13, No. 3 (1960).

  7. N. G. Sorokina, “On the generalized solvability of boundary problems for equations of mixed type,” in: Applications of Functional Analysis to Problems of Mathematical Physics [in Russian], Izd. Institute Maternatiki AN UkrSSR, Kiev (1973).

    Google Scholar 

  8. N. G. Sorokina, “Energy relations for multidimensional equations of mixed type,” Different. Uravnen.,9, No. 1 (1973).

  9. N. G. Sorokina, “Strong solvability of boundary problems for equations of mixed type in multidimensional domains,” Ukrainsk. Matem. Zh.,26, No. 1 (1974).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 5, pp. 614–623, September–October, 1975.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sorokina, N.G. Two boundary problems for multidimensional equations of mixed type degenerate on a circular cylinder. Ukr Math J 27, 506–513 (1975). https://doi.org/10.1007/BF01089143

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01089143

Keywords

Navigation