Skip to main content
Log in

Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation

  • 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. D. Aleksandrov, “Uniqueness conditions and estimates of the solution of Dirichlet's problem,” Vestn. Leningr. Un-ta. Ser. Matematika, Mekhanika, Astronomiya,13, No. 3, 5–29 (1963).

    Google Scholar 

  2. I. Ya. Bakel'man, Geometric Methods of Solving Elliptic Equations [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  3. A. D. Aleksandrov, “Dirichlet's problem for the equation Det ∥Zij∥=ϕ(Z1,...,Zn,Z,X1,...,Xn),1,” Vestn. Leningr. Un-ta. Ser. Matematika, Mekhanika, Astronomiya,1, No. 1, 5–24 (1958).

    Google Scholar 

  4. N. Dunford and J. T. Schwartz, Linear Operators: General Theory, Interscience, New York (1958).

    Google Scholar 

  5. N. V. Krylov, “An estimate in the theory of stochastic processes,” Teoriya Veroyatnostei i ee Primeneiya,”`6, No. 3, 446–457 (1971).

    Google Scholar 

  6. A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs. New Jersey (1964).

    Google Scholar 

  7. I. Ya. Bakel'man, “Geometric problems in quasilinear elliptic equations,” Usp. Matem. Nauk,25, No. 3, 49–112 (1970).

    Google Scholar 

Download references

Authors

Additional information

(Translated from Sibirskii Matematicheskii Zhurnal, Vol. 17, No. 2, pp. 290–303, March–April, 1976.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krylov, N.V. Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation. Sib Math J 17, 226–236 (1976). https://doi.org/10.1007/BF00967569

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967569

Keywords

Navigation